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Finding the Third Proportional to 120,368 and 256,288

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Solution

The third proportional to 120,368 and 256,288 is: 545,689.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,368 : 256,288 = 256,288 : x
  2. Step 2: Convert to fraction form
    120,368/256,288 = 256,288/x
  3. Step 3: Cross multiply
    120,368x = 256,288 × 256,288
  4. Step 4: Simplify right side
    120,368x = 65,683,538,944
  5. Step 5: Solve for x
    x = 65,683,538,944/120,368
  6. Step 6: Final answer
    x = 545,689.38

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.