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Finding the Third Proportional to 256,228 and 374,468

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Solution

The third proportional to 256,228 and 374,468 is: 547,271.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,228 : 374,468 = 374,468 : x
  2. Step 2: Convert to fraction form
    256,228/374,468 = 374,468/x
  3. Step 3: Cross multiply
    256,228x = 374,468 × 374,468
  4. Step 4: Simplify right side
    256,228x = 140,226,283,024
  5. Step 5: Solve for x
    x = 140,226,283,024/256,228
  6. Step 6: Final answer
    x = 547,271.50

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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.