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Finding the Third Proportional to 130,708 and 286,308

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Solution

The third proportional to 130,708 and 286,308 is: 627,140.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,708 : 286,308 = 286,308 : x
  2. Step 2: Convert to fraction form
    130,708/286,308 = 286,308/x
  3. Step 3: Cross multiply
    130,708x = 286,308 × 286,308
  4. Step 4: Simplify right side
    130,708x = 81,972,270,864
  5. Step 5: Solve for x
    x = 81,972,270,864/130,708
  6. Step 6: Final answer
    x = 627,140.43

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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.