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Finding the Third Proportional to 180,404 and 256,428

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Solution

The third proportional to 180,404 and 256,428 is: 364,489.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,404 : 256,428 = 256,428 : x
  2. Step 2: Convert to fraction form
    180,404/256,428 = 256,428/x
  3. Step 3: Cross multiply
    180,404x = 256,428 × 256,428
  4. Step 4: Simplify right side
    180,404x = 65,755,319,184
  5. Step 5: Solve for x
    x = 65,755,319,184/180,404
  6. Step 6: Final answer
    x = 364,489.25

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.