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Finding the Third Proportional to 415,540 and 623,790

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Solution

The third proportional to 415,540 and 623,790 is: 936,405.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,540 : 623,790 = 623,790 : x
  2. Step 2: Convert to fraction form
    415,540/623,790 = 623,790/x
  3. Step 3: Cross multiply
    415,540x = 623,790 × 623,790
  4. Step 4: Simplify right side
    415,540x = 389,113,964,100
  5. Step 5: Solve for x
    x = 389,113,964,100/415,540
  6. Step 6: Final answer
    x = 936,405.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.