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Finding the Third Proportional to 338,376 and 720,656

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Solution

The third proportional to 338,376 and 720,656 is: 1,534,816.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,376 : 720,656 = 720,656 : x
  2. Step 2: Convert to fraction form
    338,376/720,656 = 720,656/x
  3. Step 3: Cross multiply
    338,376x = 720,656 × 720,656
  4. Step 4: Simplify right side
    338,376x = 519,345,070,336
  5. Step 5: Solve for x
    x = 519,345,070,336/338,376
  6. Step 6: Final answer
    x = 1,534,816.51

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.