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Finding the Third Proportional to 256,282 and 407,312

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Solution

The third proportional to 256,282 and 407,312 is: 647,345.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,282 : 407,312 = 407,312 : x
  2. Step 2: Convert to fraction form
    256,282/407,312 = 407,312/x
  3. Step 3: Cross multiply
    256,282x = 407,312 × 407,312
  4. Step 4: Simplify right side
    256,282x = 165,903,065,344
  5. Step 5: Solve for x
    x = 165,903,065,344/256,282
  6. Step 6: Final answer
    x = 647,345.76

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.