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Finding the Third Proportional to 85,476.50 and 92,402

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Solution

The third proportional to 85,476.50 and 92,402 is: 99,888.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,476.50 : 92,402 = 92,402 : x
  2. Step 2: Convert to fraction form
    85,476.50/92,402 = 92,402/x
  3. Step 3: Cross multiply
    85,476.50x = 92,402 × 92,402
  4. Step 4: Simplify right side
    85,476.50x = 8,538,129,604
  5. Step 5: Solve for x
    x = 8,538,129,604/85,476.50
  6. Step 6: Final answer
    x = 99,888.62

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.