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Finding the Third Proportional to 87,309.14 and 142,718.84

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Solution

The third proportional to 87,309.14 and 142,718.84 is: 233,293.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,309.14 : 142,718.84 = 142,718.84 : x
  2. Step 2: Convert to fraction form
    87,309.14/142,718.84 = 142,718.84/x
  3. Step 3: Cross multiply
    87,309.14x = 142,718.84 × 142,718.84
  4. Step 4: Simplify right side
    87,309.14x = 20,368,666,131.36
  5. Step 5: Solve for x
    x = 20,368,666,131.36/87,309.14
  6. Step 6: Final answer
    x = 233,293.63

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.