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Finding the Third Proportional to 89,642 and 130,257

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Solution

The third proportional to 89,642 and 130,257 is: 189,273.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,642 : 130,257 = 130,257 : x
  2. Step 2: Convert to fraction form
    89,642/130,257 = 130,257/x
  3. Step 3: Cross multiply
    89,642x = 130,257 × 130,257
  4. Step 4: Simplify right side
    89,642x = 16,966,886,049
  5. Step 5: Solve for x
    x = 16,966,886,049/89,642
  6. Step 6: Final answer
    x = 189,273.85

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.