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Finding the Third Proportional to 130,730 and 286,380

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Solution

The third proportional to 130,730 and 286,380 is: 627,350.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,730 : 286,380 = 286,380 : x
  2. Step 2: Convert to fraction form
    130,730/286,380 = 286,380/x
  3. Step 3: Cross multiply
    130,730x = 286,380 × 286,380
  4. Step 4: Simplify right side
    130,730x = 82,013,504,400
  5. Step 5: Solve for x
    x = 82,013,504,400/130,730
  6. Step 6: Final answer
    x = 627,350.30

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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.