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Finding the Third Proportional to 30,331 and 65,630

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Solution

The third proportional to 30,331 and 65,630 is: 142,009.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,331 : 65,630 = 65,630 : x
  2. Step 2: Convert to fraction form
    30,331/65,630 = 65,630/x
  3. Step 3: Cross multiply
    30,331x = 65,630 × 65,630
  4. Step 4: Simplify right side
    30,331x = 4,307,296,900
  5. Step 5: Solve for x
    x = 4,307,296,900/30,331
  6. Step 6: Final answer
    x = 142,009.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.