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Finding the Third Proportional to 109,866.38 and 238,686.75

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Solution

The third proportional to 109,866.38 and 238,686.75 is: 518,551.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,866.38 : 238,686.75 = 238,686.75 : x
  2. Step 2: Convert to fraction form
    109,866.38/238,686.75 = 238,686.75/x
  3. Step 3: Cross multiply
    109,866.38x = 238,686.75 × 238,686.75
  4. Step 4: Simplify right side
    109,866.38x = 56,971,364,625.56
  5. Step 5: Solve for x
    x = 56,971,364,625.56/109,866.38
  6. Step 6: Final answer
    x = 518,551.42

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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.