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Finding the Third Proportional to 66,987 and 99,569.25

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Solution

The third proportional to 66,987 and 99,569.25 is: 147,999.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,987 : 99,569.25 = 99,569.25 : x
  2. Step 2: Convert to fraction form
    66,987/99,569.25 = 99,569.25/x
  3. Step 3: Cross multiply
    66,987x = 99,569.25 × 99,569.25
  4. Step 4: Simplify right side
    66,987x = 9,914,035,545.56
  5. Step 5: Solve for x
    x = 9,914,035,545.56/66,987
  6. Step 6: Final answer
    x = 147,999.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.