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Finding the Third Proportional to 417,911 and 626,862

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Solution

The third proportional to 417,911 and 626,862 is: 940,286.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,911 : 626,862 = 626,862 : x
  2. Step 2: Convert to fraction form
    417,911/626,862 = 626,862/x
  3. Step 3: Cross multiply
    417,911x = 626,862 × 626,862
  4. Step 4: Simplify right side
    417,911x = 392,955,967,044
  5. Step 5: Solve for x
    x = 392,955,967,044/417,911
  6. Step 6: Final answer
    x = 940,286.25

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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.