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Finding the Third Proportional to 109,730 and 256,397

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Solution

The third proportional to 109,730 and 256,397 is: 599,101.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,730 : 256,397 = 256,397 : x
  2. Step 2: Convert to fraction form
    109,730/256,397 = 256,397/x
  3. Step 3: Cross multiply
    109,730x = 256,397 × 256,397
  4. Step 4: Simplify right side
    109,730x = 65,739,421,609
  5. Step 5: Solve for x
    x = 65,739,421,609/109,730
  6. Step 6: Final answer
    x = 599,101.63

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.