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Finding the Third Proportional to 338,476 and 720,420

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Solution

The third proportional to 338,476 and 720,420 is: 1,533,358.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,476 : 720,420 = 720,420 : x
  2. Step 2: Convert to fraction form
    338,476/720,420 = 720,420/x
  3. Step 3: Cross multiply
    338,476x = 720,420 × 720,420
  4. Step 4: Simplify right side
    338,476x = 519,004,976,400
  5. Step 5: Solve for x
    x = 519,004,976,400/338,476
  6. Step 6: Final answer
    x = 1,533,358.28

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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.