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Finding the Third Proportional to 130,988 and 286,493

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Solution

The third proportional to 130,988 and 286,493 is: 626,608.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,988 : 286,493 = 286,493 : x
  2. Step 2: Convert to fraction form
    130,988/286,493 = 286,493/x
  3. Step 3: Cross multiply
    130,988x = 286,493 × 286,493
  4. Step 4: Simplify right side
    130,988x = 82,078,239,049
  5. Step 5: Solve for x
    x = 82,078,239,049/130,988
  6. Step 6: Final answer
    x = 626,608.84

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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.