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Finding the Third Proportional to 338,706 and 731,412

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Solution

The third proportional to 338,706 and 731,412 is: 1,579,433.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,706 : 731,412 = 731,412 : x
  2. Step 2: Convert to fraction form
    338,706/731,412 = 731,412/x
  3. Step 3: Cross multiply
    338,706x = 731,412 × 731,412
  4. Step 4: Simplify right side
    338,706x = 534,963,513,744
  5. Step 5: Solve for x
    x = 534,963,513,744/338,706
  6. Step 6: Final answer
    x = 1,579,433.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.