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Finding the Third Proportional to 415,992 and 626,928

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Solution

The third proportional to 415,992 and 626,928 is: 944,822.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,992 : 626,928 = 626,928 : x
  2. Step 2: Convert to fraction form
    415,992/626,928 = 626,928/x
  3. Step 3: Cross multiply
    415,992x = 626,928 × 626,928
  4. Step 4: Simplify right side
    415,992x = 393,038,717,184
  5. Step 5: Solve for x
    x = 393,038,717,184/415,992
  6. Step 6: Final answer
    x = 944,822.78

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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.