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Finding the Third Proportional to 137,707.59 and 291,946.78

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Solution

The third proportional to 137,707.59 and 291,946.78 is: 618,941.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,707.59 : 291,946.78 = 291,946.78 : x
  2. Step 2: Convert to fraction form
    137,707.59/291,946.78 = 291,946.78/x
  3. Step 3: Cross multiply
    137,707.59x = 291,946.78 × 291,946.78
  4. Step 4: Simplify right side
    137,707.59x = 85,232,923,082.24
  5. Step 5: Solve for x
    x = 85,232,923,082.24/137,707.59
  6. Step 6: Final answer
    x = 618,941.34

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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.