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Finding the Third Proportional to 130,731.19 and 277,156.69

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Solution

The third proportional to 130,731.19 and 277,156.69 is: 587,586.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,731.19 : 277,156.69 = 277,156.69 : x
  2. Step 2: Convert to fraction form
    130,731.19/277,156.69 = 277,156.69/x
  3. Step 3: Cross multiply
    130,731.19x = 277,156.69 × 277,156.69
  4. Step 4: Simplify right side
    130,731.19x = 76,815,829,425.97
  5. Step 5: Solve for x
    x = 76,815,829,425.97/130,731.19
  6. Step 6: Final answer
    x = 587,586.11

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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.