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Finding the Third Proportional to 135,124.14 and 286,915.61

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Solution

The third proportional to 135,124.14 and 286,915.61 is: 609,221.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,124.14 : 286,915.61 = 286,915.61 : x
  2. Step 2: Convert to fraction form
    135,124.14/286,915.61 = 286,915.61/x
  3. Step 3: Cross multiply
    135,124.14x = 286,915.61 × 286,915.61
  4. Step 4: Simplify right side
    135,124.14x = 82,320,564,661.50
  5. Step 5: Solve for x
    x = 82,320,564,661.50/135,124.14
  6. Step 6: Final answer
    x = 609,221.76

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.