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Finding the Third Proportional to 407,815 and 614,081

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Solution

The third proportional to 407,815 and 614,081 is: 924,672.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,815 : 614,081 = 614,081 : x
  2. Step 2: Convert to fraction form
    407,815/614,081 = 614,081/x
  3. Step 3: Cross multiply
    407,815x = 614,081 × 614,081
  4. Step 4: Simplify right side
    407,815x = 377,095,474,561
  5. Step 5: Solve for x
    x = 377,095,474,561/407,815
  6. Step 6: Final answer
    x = 924,672.89

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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.