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Finding the Third Proportional to 175,099 and 256,438

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Solution

The third proportional to 175,099 and 256,438 is: 375,561.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,099 : 256,438 = 256,438 : x
  2. Step 2: Convert to fraction form
    175,099/256,438 = 256,438/x
  3. Step 3: Cross multiply
    175,099x = 256,438 × 256,438
  4. Step 4: Simplify right side
    175,099x = 65,760,447,844
  5. Step 5: Solve for x
    x = 65,760,447,844/175,099
  6. Step 6: Final answer
    x = 375,561.53

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.