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Finding the Third Proportional to 250,312.78 and 388,306.41

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Solution

The third proportional to 250,312.78 and 388,306.41 is: 602,373.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,312.78 : 388,306.41 = 388,306.41 : x
  2. Step 2: Convert to fraction form
    250,312.78/388,306.41 = 388,306.41/x
  3. Step 3: Cross multiply
    250,312.78x = 388,306.41 × 388,306.41
  4. Step 4: Simplify right side
    250,312.78x = 150,781,865,134.79
  5. Step 5: Solve for x
    x = 150,781,865,134.79/250,312.78
  6. Step 6: Final answer
    x = 602,373.82

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.