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Finding the Third Proportional to 85,957.50 and 129,097.50

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Solution

The third proportional to 85,957.50 and 129,097.50 is: 193,888.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,957.50 : 129,097.50 = 129,097.50 : x
  2. Step 2: Convert to fraction form
    85,957.50/129,097.50 = 129,097.50/x
  3. Step 3: Cross multiply
    85,957.50x = 129,097.50 × 129,097.50
  4. Step 4: Simplify right side
    85,957.50x = 16,666,164,506.25
  5. Step 5: Solve for x
    x = 16,666,164,506.25/85,957.50
  6. Step 6: Final answer
    x = 193,888.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.