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Finding the Third Proportional to 256,789 and 385,959

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Solution

The third proportional to 256,789 and 385,959 is: 580,104.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,789 : 385,959 = 385,959 : x
  2. Step 2: Convert to fraction form
    256,789/385,959 = 385,959/x
  3. Step 3: Cross multiply
    256,789x = 385,959 × 385,959
  4. Step 4: Simplify right side
    256,789x = 148,964,349,681
  5. Step 5: Solve for x
    x = 148,964,349,681/256,789
  6. Step 6: Final answer
    x = 580,104.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.