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Finding the Third Proportional to 527,457 and 817,249.50

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Solution

The third proportional to 527,457 and 817,249.50 is: 1,266,258.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,457 : 817,249.50 = 817,249.50 : x
  2. Step 2: Convert to fraction form
    527,457/817,249.50 = 817,249.50/x
  3. Step 3: Cross multiply
    527,457x = 817,249.50 × 817,249.50
  4. Step 4: Simplify right side
    527,457x = 667,896,745,250.25
  5. Step 5: Solve for x
    x = 667,896,745,250.25/527,457
  6. Step 6: Final answer
    x = 1,266,258.19

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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.