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Finding the Third Proportional to 272,428 and 577,620

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Solution

The third proportional to 272,428 and 577,620 is: 1,224,708.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,428 : 577,620 = 577,620 : x
  2. Step 2: Convert to fraction form
    272,428/577,620 = 577,620/x
  3. Step 3: Cross multiply
    272,428x = 577,620 × 577,620
  4. Step 4: Simplify right side
    272,428x = 333,644,864,400
  5. Step 5: Solve for x
    x = 333,644,864,400/272,428
  6. Step 6: Final answer
    x = 1,224,708.42

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.