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Finding the Third Proportional to 527,641 and 818,076

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Solution

The third proportional to 527,641 and 818,076 is: 1,268,378.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,641 : 818,076 = 818,076 : x
  2. Step 2: Convert to fraction form
    527,641/818,076 = 818,076/x
  3. Step 3: Cross multiply
    527,641x = 818,076 × 818,076
  4. Step 4: Simplify right side
    527,641x = 669,248,341,776
  5. Step 5: Solve for x
    x = 669,248,341,776/527,641
  6. Step 6: Final answer
    x = 1,268,378.20

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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.