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Finding the Third Proportional to 61,418 and 130,217

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Solution

The third proportional to 61,418 and 130,217 is: 276,083.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,418 : 130,217 = 130,217 : x
  2. Step 2: Convert to fraction form
    61,418/130,217 = 130,217/x
  3. Step 3: Cross multiply
    61,418x = 130,217 × 130,217
  4. Step 4: Simplify right side
    61,418x = 16,956,467,089
  5. Step 5: Solve for x
    x = 16,956,467,089/61,418
  6. Step 6: Final answer
    x = 276,083.02

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.