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Finding the Third Proportional to 130,899 and 282,686

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Solution

The third proportional to 130,899 and 282,686 is: 610,481.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,899 : 282,686 = 282,686 : x
  2. Step 2: Convert to fraction form
    130,899/282,686 = 282,686/x
  3. Step 3: Cross multiply
    130,899x = 282,686 × 282,686
  4. Step 4: Simplify right side
    130,899x = 79,911,374,596
  5. Step 5: Solve for x
    x = 79,911,374,596/130,899
  6. Step 6: Final answer
    x = 610,481.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.