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Finding the Third Proportional to 147,931.13 and 240,339.56

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Solution

The third proportional to 147,931.13 and 240,339.56 is: 390,472.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,931.13 : 240,339.56 = 240,339.56 : x
  2. Step 2: Convert to fraction form
    147,931.13/240,339.56 = 240,339.56/x
  3. Step 3: Cross multiply
    147,931.13x = 240,339.56 × 240,339.56
  4. Step 4: Simplify right side
    147,931.13x = 57,763,105,302.69
  5. Step 5: Solve for x
    x = 57,763,105,302.69/147,931.13
  6. Step 6: Final answer
    x = 390,472.97

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.