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Finding the Third Proportional to 132,403 and 196,033

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Solution

The third proportional to 132,403 and 196,033 is: 290,242.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,403 : 196,033 = 196,033 : x
  2. Step 2: Convert to fraction form
    132,403/196,033 = 196,033/x
  3. Step 3: Cross multiply
    132,403x = 196,033 × 196,033
  4. Step 4: Simplify right side
    132,403x = 38,428,937,089
  5. Step 5: Solve for x
    x = 38,428,937,089/132,403
  6. Step 6: Final answer
    x = 290,242.19

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.