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Finding the Third Proportional to 123,585.75 and 162,820.13

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Solution

The third proportional to 123,585.75 and 162,820.13 is: 214,510.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,585.75 : 162,820.13 = 162,820.13 : x
  2. Step 2: Convert to fraction form
    123,585.75/162,820.13 = 162,820.13/x
  3. Step 3: Cross multiply
    123,585.75x = 162,820.13 × 162,820.13
  4. Step 4: Simplify right side
    123,585.75x = 26,510,393,105.02
  5. Step 5: Solve for x
    x = 26,510,393,105.02/123,585.75
  6. Step 6: Final answer
    x = 214,510.11

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.