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Finding the Third Proportional to 65,569.50 and 140,487.75

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Solution

The third proportional to 65,569.50 and 140,487.75 is: 301,005.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,569.50 : 140,487.75 = 140,487.75 : x
  2. Step 2: Convert to fraction form
    65,569.50/140,487.75 = 140,487.75/x
  3. Step 3: Cross multiply
    65,569.50x = 140,487.75 × 140,487.75
  4. Step 4: Simplify right side
    65,569.50x = 19,736,807,900.06
  5. Step 5: Solve for x
    x = 19,736,807,900.06/65,569.50
  6. Step 6: Final answer
    x = 301,005.92

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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.