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Finding the Third Proportional to 66,642.75 and 159,332.06

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Solution

The third proportional to 66,642.75 and 159,332.06 is: 380,937.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,642.75 : 159,332.06 = 159,332.06 : x
  2. Step 2: Convert to fraction form
    66,642.75/159,332.06 = 159,332.06/x
  3. Step 3: Cross multiply
    66,642.75x = 159,332.06 × 159,332.06
  4. Step 4: Simplify right side
    66,642.75x = 25,386,706,140.50
  5. Step 5: Solve for x
    x = 25,386,706,140.50/66,642.75
  6. Step 6: Final answer
    x = 380,937.25

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.