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Finding the Third Proportional to 255,624 and 388,747.13

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Solution

The third proportional to 255,624 and 388,747.13 is: 591,197.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,624 : 388,747.13 = 388,747.13 : x
  2. Step 2: Convert to fraction form
    255,624/388,747.13 = 388,747.13/x
  3. Step 3: Cross multiply
    255,624x = 388,747.13 × 388,747.13
  4. Step 4: Simplify right side
    255,624x = 151,124,327,195.77
  5. Step 5: Solve for x
    x = 151,124,327,195.77/255,624
  6. Step 6: Final answer
    x = 591,197.72

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.