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Finding the Third Proportional to 118,315 and 256,591

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Solution

The third proportional to 118,315 and 256,591 is: 556,471.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,315 : 256,591 = 256,591 : x
  2. Step 2: Convert to fraction form
    118,315/256,591 = 256,591/x
  3. Step 3: Cross multiply
    118,315x = 256,591 × 256,591
  4. Step 4: Simplify right side
    118,315x = 65,838,941,281
  5. Step 5: Solve for x
    x = 65,838,941,281/118,315
  6. Step 6: Final answer
    x = 556,471.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.