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Finding the Third Proportional to 42,630.75 and 66,726

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Solution

The third proportional to 42,630.75 and 66,726 is: 104,440.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,630.75 : 66,726 = 66,726 : x
  2. Step 2: Convert to fraction form
    42,630.75/66,726 = 66,726/x
  3. Step 3: Cross multiply
    42,630.75x = 66,726 × 66,726
  4. Step 4: Simplify right side
    42,630.75x = 4,452,359,076
  5. Step 5: Solve for x
    x = 4,452,359,076/42,630.75
  6. Step 6: Final answer
    x = 104,440.08

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.