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Finding the Third Proportional to 65,840 and 99,341

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Solution

The third proportional to 65,840 and 99,341 is: 149,888.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,840 : 99,341 = 99,341 : x
  2. Step 2: Convert to fraction form
    65,840/99,341 = 99,341/x
  3. Step 3: Cross multiply
    65,840x = 99,341 × 99,341
  4. Step 4: Simplify right side
    65,840x = 9,868,634,281
  5. Step 5: Solve for x
    x = 9,868,634,281/65,840
  6. Step 6: Final answer
    x = 149,888.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.