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Finding the Third Proportional to 315,540 and 476,577

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Solution

The third proportional to 315,540 and 476,577 is: 719,799.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,540 : 476,577 = 476,577 : x
  2. Step 2: Convert to fraction form
    315,540/476,577 = 476,577/x
  3. Step 3: Cross multiply
    315,540x = 476,577 × 476,577
  4. Step 4: Simplify right side
    315,540x = 227,125,636,929
  5. Step 5: Solve for x
    x = 227,125,636,929/315,540
  6. Step 6: Final answer
    x = 719,799.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.