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Finding the Third Proportional to 19,980 and 29,862

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Solution

The third proportional to 19,980 and 29,862 is: 44,631.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,980 : 29,862 = 29,862 : x
  2. Step 2: Convert to fraction form
    19,980/29,862 = 29,862/x
  3. Step 3: Cross multiply
    19,980x = 29,862 × 29,862
  4. Step 4: Simplify right side
    19,980x = 891,739,044
  5. Step 5: Solve for x
    x = 891,739,044/19,980
  6. Step 6: Final answer
    x = 44,631.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.