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Finding the Third Proportional to 130,828 and 282,560

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Solution

The third proportional to 130,828 and 282,560 is: 610,268.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,828 : 282,560 = 282,560 : x
  2. Step 2: Convert to fraction form
    130,828/282,560 = 282,560/x
  3. Step 3: Cross multiply
    130,828x = 282,560 × 282,560
  4. Step 4: Simplify right side
    130,828x = 79,840,153,600
  5. Step 5: Solve for x
    x = 79,840,153,600/130,828
  6. Step 6: Final answer
    x = 610,268.09

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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.