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Finding the Third Proportional to 310,464 and 471,528

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Solution

The third proportional to 310,464 and 471,528 is: 716,149.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,464 : 471,528 = 471,528 : x
  2. Step 2: Convert to fraction form
    310,464/471,528 = 471,528/x
  3. Step 3: Cross multiply
    310,464x = 471,528 × 471,528
  4. Step 4: Simplify right side
    310,464x = 222,338,654,784
  5. Step 5: Solve for x
    x = 222,338,654,784/310,464
  6. Step 6: Final answer
    x = 716,149.55

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.