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Finding the Third Proportional to 130,899 and 282,390

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Solution

The third proportional to 130,899 and 282,390 is: 609,203.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,899 : 282,390 = 282,390 : x
  2. Step 2: Convert to fraction form
    130,899/282,390 = 282,390/x
  3. Step 3: Cross multiply
    130,899x = 282,390 × 282,390
  4. Step 4: Simplify right side
    130,899x = 79,744,112,100
  5. Step 5: Solve for x
    x = 79,744,112,100/130,899
  6. Step 6: Final answer
    x = 609,203.37

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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.