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Finding the Third Proportional to 83,533.50 and 129,543.75

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Solution

The third proportional to 83,533.50 and 129,543.75 is: 200,896.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,533.50 : 129,543.75 = 129,543.75 : x
  2. Step 2: Convert to fraction form
    83,533.50/129,543.75 = 129,543.75/x
  3. Step 3: Cross multiply
    83,533.50x = 129,543.75 × 129,543.75
  4. Step 4: Simplify right side
    83,533.50x = 16,781,583,164.06
  5. Step 5: Solve for x
    x = 16,781,583,164.06/83,533.50
  6. Step 6: Final answer
    x = 200,896.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.