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Finding the Third Proportional to 118,440 and 256,536

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Solution

The third proportional to 118,440 and 256,536 is: 555,646.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,440 : 256,536 = 256,536 : x
  2. Step 2: Convert to fraction form
    118,440/256,536 = 256,536/x
  3. Step 3: Cross multiply
    118,440x = 256,536 × 256,536
  4. Step 4: Simplify right side
    118,440x = 65,810,719,296
  5. Step 5: Solve for x
    x = 65,810,719,296/118,440
  6. Step 6: Final answer
    x = 555,646.06

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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.