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Finding the Third Proportional to 527,458 and 817,248

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Solution

The third proportional to 527,458 and 817,248 is: 1,266,251.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,458 : 817,248 = 817,248 : x
  2. Step 2: Convert to fraction form
    527,458/817,248 = 817,248/x
  3. Step 3: Cross multiply
    527,458x = 817,248 × 817,248
  4. Step 4: Simplify right side
    527,458x = 667,894,293,504
  5. Step 5: Solve for x
    x = 667,894,293,504/527,458
  6. Step 6: Final answer
    x = 1,266,251.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.