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Finding the Third Proportional to 130,521 and 276,486

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Solution

The third proportional to 130,521 and 276,486 is: 585,687.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,521 : 276,486 = 276,486 : x
  2. Step 2: Convert to fraction form
    130,521/276,486 = 276,486/x
  3. Step 3: Cross multiply
    130,521x = 276,486 × 276,486
  4. Step 4: Simplify right side
    130,521x = 76,444,508,196
  5. Step 5: Solve for x
    x = 76,444,508,196/130,521
  6. Step 6: Final answer
    x = 585,687.42

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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.