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Finding the Third Proportional to 447,528 and 625,712

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Solution

The third proportional to 447,528 and 625,712 is: 874,840.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,528 : 625,712 = 625,712 : x
  2. Step 2: Convert to fraction form
    447,528/625,712 = 625,712/x
  3. Step 3: Cross multiply
    447,528x = 625,712 × 625,712
  4. Step 4: Simplify right side
    447,528x = 391,515,506,944
  5. Step 5: Solve for x
    x = 391,515,506,944/447,528
  6. Step 6: Final answer
    x = 874,840.25

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.