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Finding the Third Proportional to 85,428 and 130,250

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Solution

The third proportional to 85,428 and 130,250 is: 198,589.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,428 : 130,250 = 130,250 : x
  2. Step 2: Convert to fraction form
    85,428/130,250 = 130,250/x
  3. Step 3: Cross multiply
    85,428x = 130,250 × 130,250
  4. Step 4: Simplify right side
    85,428x = 16,965,062,500
  5. Step 5: Solve for x
    x = 16,965,062,500/85,428
  6. Step 6: Final answer
    x = 198,589.02

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.