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Finding the Third Proportional to 135,111.28 and 293,298.47

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Solution

The third proportional to 135,111.28 and 293,298.47 is: 636,689.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,111.28 : 293,298.47 = 293,298.47 : x
  2. Step 2: Convert to fraction form
    135,111.28/293,298.47 = 293,298.47/x
  3. Step 3: Cross multiply
    135,111.28x = 293,298.47 × 293,298.47
  4. Step 4: Simplify right side
    135,111.28x = 86,023,991,771.09
  5. Step 5: Solve for x
    x = 86,023,991,771.09/135,111.28
  6. Step 6: Final answer
    x = 636,689.93

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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.