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Finding the Third Proportional to 132,981 and 291,396

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Solution

The third proportional to 132,981 and 291,396 is: 638,524.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,981 : 291,396 = 291,396 : x
  2. Step 2: Convert to fraction form
    132,981/291,396 = 291,396/x
  3. Step 3: Cross multiply
    132,981x = 291,396 × 291,396
  4. Step 4: Simplify right side
    132,981x = 84,911,628,816
  5. Step 5: Solve for x
    x = 84,911,628,816/132,981
  6. Step 6: Final answer
    x = 638,524.52

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.