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Finding the Third Proportional to 66,495.50 and 142,332.50

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Solution

The third proportional to 66,495.50 and 142,332.50 is: 304,660.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,495.50 : 142,332.50 = 142,332.50 : x
  2. Step 2: Convert to fraction form
    66,495.50/142,332.50 = 142,332.50/x
  3. Step 3: Cross multiply
    66,495.50x = 142,332.50 × 142,332.50
  4. Step 4: Simplify right side
    66,495.50x = 20,258,540,556.25
  5. Step 5: Solve for x
    x = 20,258,540,556.25/66,495.50
  6. Step 6: Final answer
    x = 304,660.32

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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.