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Finding the Third Proportional to 256,148 and 411,564

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Solution

The third proportional to 256,148 and 411,564 is: 661,277.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,148 : 411,564 = 411,564 : x
  2. Step 2: Convert to fraction form
    256,148/411,564 = 411,564/x
  3. Step 3: Cross multiply
    256,148x = 411,564 × 411,564
  4. Step 4: Simplify right side
    256,148x = 169,384,926,096
  5. Step 5: Solve for x
    x = 169,384,926,096/256,148
  6. Step 6: Final answer
    x = 661,277.57

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.