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Finding the Third Proportional to 118,467 and 256,590

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Solution

The third proportional to 118,467 and 256,590 is: 555,753.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,467 : 256,590 = 256,590 : x
  2. Step 2: Convert to fraction form
    118,467/256,590 = 256,590/x
  3. Step 3: Cross multiply
    118,467x = 256,590 × 256,590
  4. Step 4: Simplify right side
    118,467x = 65,838,428,100
  5. Step 5: Solve for x
    x = 65,838,428,100/118,467
  6. Step 6: Final answer
    x = 555,753.32

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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.