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Finding the Third Proportional to 527,985 and 817,918

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Solution

The third proportional to 527,985 and 817,918 is: 1,267,062.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,985 : 817,918 = 817,918 : x
  2. Step 2: Convert to fraction form
    527,985/817,918 = 817,918/x
  3. Step 3: Cross multiply
    527,985x = 817,918 × 817,918
  4. Step 4: Simplify right side
    527,985x = 668,989,854,724
  5. Step 5: Solve for x
    x = 668,989,854,724/527,985
  6. Step 6: Final answer
    x = 1,267,062.24

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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.