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Finding the Third Proportional to 70,802.50 and 98,993

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Solution

The third proportional to 70,802.50 and 98,993 is: 138,407.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,802.50 : 98,993 = 98,993 : x
  2. Step 2: Convert to fraction form
    70,802.50/98,993 = 98,993/x
  3. Step 3: Cross multiply
    70,802.50x = 98,993 × 98,993
  4. Step 4: Simplify right side
    70,802.50x = 9,799,614,049
  5. Step 5: Solve for x
    x = 9,799,614,049/70,802.50
  6. Step 6: Final answer
    x = 138,407.74

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.