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Finding the Third Proportional to 29,840 and 65,418

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Solution

The third proportional to 29,840 and 65,418 is: 143,415.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,840 : 65,418 = 65,418 : x
  2. Step 2: Convert to fraction form
    29,840/65,418 = 65,418/x
  3. Step 3: Cross multiply
    29,840x = 65,418 × 65,418
  4. Step 4: Simplify right side
    29,840x = 4,279,514,724
  5. Step 5: Solve for x
    x = 4,279,514,724/29,840
  6. Step 6: Final answer
    x = 143,415.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.