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Finding the Third Proportional to 218,312 and 469,824

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Solution

The third proportional to 218,312 and 469,824 is: 1,011,096.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,312 : 469,824 = 469,824 : x
  2. Step 2: Convert to fraction form
    218,312/469,824 = 469,824/x
  3. Step 3: Cross multiply
    218,312x = 469,824 × 469,824
  4. Step 4: Simplify right side
    218,312x = 220,734,590,976
  5. Step 5: Solve for x
    x = 220,734,590,976/218,312
  6. Step 6: Final answer
    x = 1,011,096.92

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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.