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Finding the Third Proportional to 137,902.50 and 296,915.63

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Solution

The third proportional to 137,902.50 and 296,915.63 is: 639,284.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,902.50 : 296,915.63 = 296,915.63 : x
  2. Step 2: Convert to fraction form
    137,902.50/296,915.63 = 296,915.63/x
  3. Step 3: Cross multiply
    137,902.50x = 296,915.63 × 296,915.63
  4. Step 4: Simplify right side
    137,902.50x = 88,158,888,369.14
  5. Step 5: Solve for x
    x = 88,158,888,369.14/137,902.50
  6. Step 6: Final answer
    x = 639,284.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.