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Finding the Third Proportional to 130,689 and 286,278.75

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Solution

The third proportional to 130,689 and 286,278.75 is: 627,103.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,689 : 286,278.75 = 286,278.75 : x
  2. Step 2: Convert to fraction form
    130,689/286,278.75 = 286,278.75/x
  3. Step 3: Cross multiply
    130,689x = 286,278.75 × 286,278.75
  4. Step 4: Simplify right side
    130,689x = 81,955,522,701.56
  5. Step 5: Solve for x
    x = 81,955,522,701.56/130,689
  6. Step 6: Final answer
    x = 627,103.45

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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.