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Finding the Third Proportional to 100,487.75 and 215,545.50

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Solution

The third proportional to 100,487.75 and 215,545.50 is: 462,343.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,487.75 : 215,545.50 = 215,545.50 : x
  2. Step 2: Convert to fraction form
    100,487.75/215,545.50 = 215,545.50/x
  3. Step 3: Cross multiply
    100,487.75x = 215,545.50 × 215,545.50
  4. Step 4: Simplify right side
    100,487.75x = 46,459,862,570.25
  5. Step 5: Solve for x
    x = 46,459,862,570.25/100,487.75
  6. Step 6: Final answer
    x = 462,343.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.