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Finding the Third Proportional to 138,715.03 and 287,977.78

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Solution

The third proportional to 138,715.03 and 287,977.78 is: 597,853.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,715.03 : 287,977.78 = 287,977.78 : x
  2. Step 2: Convert to fraction form
    138,715.03/287,977.78 = 287,977.78/x
  3. Step 3: Cross multiply
    138,715.03x = 287,977.78 × 287,977.78
  4. Step 4: Simplify right side
    138,715.03x = 82,931,202,493.67
  5. Step 5: Solve for x
    x = 82,931,202,493.67/138,715.03
  6. Step 6: Final answer
    x = 597,853.04

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.