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Finding the Third Proportional to 130,716 and 286,324

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Solution

The third proportional to 130,716 and 286,324 is: 627,172.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,716 : 286,324 = 286,324 : x
  2. Step 2: Convert to fraction form
    130,716/286,324 = 286,324/x
  3. Step 3: Cross multiply
    130,716x = 286,324 × 286,324
  4. Step 4: Simplify right side
    130,716x = 81,981,432,976
  5. Step 5: Solve for x
    x = 81,981,432,976/130,716
  6. Step 6: Final answer
    x = 627,172.14

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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.