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Finding the Third Proportional to 60,516.75 and 128,230.50

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Solution

The third proportional to 60,516.75 and 128,230.50 is: 271,710.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,516.75 : 128,230.50 = 128,230.50 : x
  2. Step 2: Convert to fraction form
    60,516.75/128,230.50 = 128,230.50/x
  3. Step 3: Cross multiply
    60,516.75x = 128,230.50 × 128,230.50
  4. Step 4: Simplify right side
    60,516.75x = 16,443,061,130.25
  5. Step 5: Solve for x
    x = 16,443,061,130.25/60,516.75
  6. Step 6: Final answer
    x = 271,710.91

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.