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Finding the Third Proportional to 243,210,194,208 and 523,022,686,320

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Solution

The third proportional to 243,210,194,208 and 523,022,686,320 is: 1,124,758,488,418.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,210,194,208 : 523,022,686,320 = 523,022,686,320 : x
  2. Step 2: Convert to fraction form
    243,210,194,208/523,022,686,320 = 523,022,686,320/x
  3. Step 3: Cross multiply
    243,210,194,208x = 523,022,686,320 × 523,022,686,320
  4. Step 4: Simplify right side
    243,210,194,208x = 273,552,730,405,389,106,937,856
  5. Step 5: Solve for x
    x = 273,552,730,405,389,106,937,856/243,210,194,208
  6. Step 6: Final answer
    x = 1,124,758,488,418.62

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.