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Finding the Third Proportional to 85,428 and 137,263.50

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Solution

The third proportional to 85,428 and 137,263.50 is: 220,551.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,428 : 137,263.50 = 137,263.50 : x
  2. Step 2: Convert to fraction form
    85,428/137,263.50 = 137,263.50/x
  3. Step 3: Cross multiply
    85,428x = 137,263.50 × 137,263.50
  4. Step 4: Simplify right side
    85,428x = 18,841,268,432.25
  5. Step 5: Solve for x
    x = 18,841,268,432.25/85,428
  6. Step 6: Final answer
    x = 220,551.44

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.