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Finding the Third Proportional to 1,572,194,208 and 3,365,244,320

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Solution

The third proportional to 1,572,194,208 and 3,365,244,320 is: 7,203,225,451.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,572,194,208 : 3,365,244,320 = 3,365,244,320 : x
  2. Step 2: Convert to fraction form
    1,572,194,208/3,365,244,320 = 3,365,244,320/x
  3. Step 3: Cross multiply
    1,572,194,208x = 3,365,244,320 × 3,365,244,320
  4. Step 4: Simplify right side
    1,572,194,208x = 11,324,869,333,292,261,376
  5. Step 5: Solve for x
    x = 11,324,869,333,292,261,376/1,572,194,208
  6. Step 6: Final answer
    x = 7,203,225,451.20

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.