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Finding the Third Proportional to 38,840 and 85,528

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Solution

The third proportional to 38,840 and 85,528 is: 188,337.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,840 : 85,528 = 85,528 : x
  2. Step 2: Convert to fraction form
    38,840/85,528 = 85,528/x
  3. Step 3: Cross multiply
    38,840x = 85,528 × 85,528
  4. Step 4: Simplify right side
    38,840x = 7,315,038,784
  5. Step 5: Solve for x
    x = 7,315,038,784/38,840
  6. Step 6: Final answer
    x = 188,337.76

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.