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Finding the Third Proportional to 67,449 and 98,987

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Solution

The third proportional to 67,449 and 98,987 is: 145,271.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,449 : 98,987 = 98,987 : x
  2. Step 2: Convert to fraction form
    67,449/98,987 = 98,987/x
  3. Step 3: Cross multiply
    67,449x = 98,987 × 98,987
  4. Step 4: Simplify right side
    67,449x = 9,798,426,169
  5. Step 5: Solve for x
    x = 9,798,426,169/67,449
  6. Step 6: Final answer
    x = 145,271.63

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.