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Finding the Third Proportional to 64,998 and 141,120

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Solution

The third proportional to 64,998 and 141,120 is: 306,391.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,998 : 141,120 = 141,120 : x
  2. Step 2: Convert to fraction form
    64,998/141,120 = 141,120/x
  3. Step 3: Cross multiply
    64,998x = 141,120 × 141,120
  4. Step 4: Simplify right side
    64,998x = 19,914,854,400
  5. Step 5: Solve for x
    x = 19,914,854,400/64,998
  6. Step 6: Final answer
    x = 306,391.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.