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Finding the Third Proportional to 527,645 and 818,082

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Solution

The third proportional to 527,645 and 818,082 is: 1,268,387.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,645 : 818,082 = 818,082 : x
  2. Step 2: Convert to fraction form
    527,645/818,082 = 818,082/x
  3. Step 3: Cross multiply
    527,645x = 818,082 × 818,082
  4. Step 4: Simplify right side
    527,645x = 669,258,158,724
  5. Step 5: Solve for x
    x = 669,258,158,724/527,645
  6. Step 6: Final answer
    x = 1,268,387.19

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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.