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Finding the Third Proportional to 416,266 and 553,402

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Solution

The third proportional to 416,266 and 553,402 is: 735,716.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,266 : 553,402 = 553,402 : x
  2. Step 2: Convert to fraction form
    416,266/553,402 = 553,402/x
  3. Step 3: Cross multiply
    416,266x = 553,402 × 553,402
  4. Step 4: Simplify right side
    416,266x = 306,253,773,604
  5. Step 5: Solve for x
    x = 306,253,773,604/416,266
  6. Step 6: Final answer
    x = 735,716.52

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.