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Finding the Third Proportional to 40,230 and 61,209

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Solution

The third proportional to 40,230 and 61,209 is: 93,128.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,230 : 61,209 = 61,209 : x
  2. Step 2: Convert to fraction form
    40,230/61,209 = 61,209/x
  3. Step 3: Cross multiply
    40,230x = 61,209 × 61,209
  4. Step 4: Simplify right side
    40,230x = 3,746,541,681
  5. Step 5: Solve for x
    x = 3,746,541,681/40,230
  6. Step 6: Final answer
    x = 93,128.06

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.