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Finding the Third Proportional to 71,299 and 99,686.50

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Solution

The third proportional to 71,299 and 99,686.50 is: 139,376.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,299 : 99,686.50 = 99,686.50 : x
  2. Step 2: Convert to fraction form
    71,299/99,686.50 = 99,686.50/x
  3. Step 3: Cross multiply
    71,299x = 99,686.50 × 99,686.50
  4. Step 4: Simplify right side
    71,299x = 9,937,398,282.25
  5. Step 5: Solve for x
    x = 9,937,398,282.25/71,299
  6. Step 6: Final answer
    x = 139,376.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.