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Finding the Third Proportional to 86,113.13 and 98,642.81

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Solution

The third proportional to 86,113.13 and 98,642.81 is: 112,995.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,113.13 : 98,642.81 = 98,642.81 : x
  2. Step 2: Convert to fraction form
    86,113.13/98,642.81 = 98,642.81/x
  3. Step 3: Cross multiply
    86,113.13x = 98,642.81 × 98,642.81
  4. Step 4: Simplify right side
    86,113.13x = 9,730,404,457.91
  5. Step 5: Solve for x
    x = 9,730,404,457.91/86,113.13
  6. Step 6: Final answer
    x = 112,995.60

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These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.