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Finding the Third Proportional to 417,394 and 626,177

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Solution

The third proportional to 417,394 and 626,177 is: 939,394.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,394 : 626,177 = 626,177 : x
  2. Step 2: Convert to fraction form
    417,394/626,177 = 626,177/x
  3. Step 3: Cross multiply
    417,394x = 626,177 × 626,177
  4. Step 4: Simplify right side
    417,394x = 392,097,635,329
  5. Step 5: Solve for x
    x = 392,097,635,329/417,394
  6. Step 6: Final answer
    x = 939,394.52

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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.