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Finding the Third Proportional to 407,813 and 614,078

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Solution

The third proportional to 407,813 and 614,078 is: 924,668.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,813 : 614,078 = 614,078 : x
  2. Step 2: Convert to fraction form
    407,813/614,078 = 614,078/x
  3. Step 3: Cross multiply
    407,813x = 614,078 × 614,078
  4. Step 4: Simplify right side
    407,813x = 377,091,790,084
  5. Step 5: Solve for x
    x = 377,091,790,084/407,813
  6. Step 6: Final answer
    x = 924,668.39

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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.