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Finding the Third Proportional to 129,701.25 and 286,314.75

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Solution

The third proportional to 129,701.25 and 286,314.75 is: 632,038.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,701.25 : 286,314.75 = 286,314.75 : x
  2. Step 2: Convert to fraction form
    129,701.25/286,314.75 = 286,314.75/x
  3. Step 3: Cross multiply
    129,701.25x = 286,314.75 × 286,314.75
  4. Step 4: Simplify right side
    129,701.25x = 81,976,136,067.56
  5. Step 5: Solve for x
    x = 81,976,136,067.56/129,701.25
  6. Step 6: Final answer
    x = 632,038.13

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.