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Finding the Third Proportional to 130,898 and 286,654

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Solution

The third proportional to 130,898 and 286,654 is: 627,744.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,898 : 286,654 = 286,654 : x
  2. Step 2: Convert to fraction form
    130,898/286,654 = 286,654/x
  3. Step 3: Cross multiply
    130,898x = 286,654 × 286,654
  4. Step 4: Simplify right side
    130,898x = 82,170,515,716
  5. Step 5: Solve for x
    x = 82,170,515,716/130,898
  6. Step 6: Final answer
    x = 627,744.62

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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.