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Finding the Third Proportional to 78,490.50 and 100,785

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Solution

The third proportional to 78,490.50 and 100,785 is: 129,412.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,490.50 : 100,785 = 100,785 : x
  2. Step 2: Convert to fraction form
    78,490.50/100,785 = 100,785/x
  3. Step 3: Cross multiply
    78,490.50x = 100,785 × 100,785
  4. Step 4: Simplify right side
    78,490.50x = 10,157,616,225
  5. Step 5: Solve for x
    x = 10,157,616,225/78,490.50
  6. Step 6: Final answer
    x = 129,412.05

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.