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Finding the Third Proportional to 412,930.13 and 555,728.63

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Solution

The third proportional to 412,930.13 and 555,728.63 is: 747,909.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,930.13 : 555,728.63 = 555,728.63 : x
  2. Step 2: Convert to fraction form
    412,930.13/555,728.63 = 555,728.63/x
  3. Step 3: Cross multiply
    412,930.13x = 555,728.63 × 555,728.63
  4. Step 4: Simplify right side
    412,930.13x = 308,834,304,644.39
  5. Step 5: Solve for x
    x = 308,834,304,644.39/412,930.13
  6. Step 6: Final answer
    x = 747,909.36

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.