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Finding the Third Proportional to 31,461 and 66,579

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Solution

The third proportional to 31,461 and 66,579 is: 140,897.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,461 : 66,579 = 66,579 : x
  2. Step 2: Convert to fraction form
    31,461/66,579 = 66,579/x
  3. Step 3: Cross multiply
    31,461x = 66,579 × 66,579
  4. Step 4: Simplify right side
    31,461x = 4,432,763,241
  5. Step 5: Solve for x
    x = 4,432,763,241/31,461
  6. Step 6: Final answer
    x = 140,897.09

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.