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Finding the Third Proportional to 130,396.50 and 285,687

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Solution

The third proportional to 130,396.50 and 285,687 is: 625,914.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,396.50 : 285,687 = 285,687 : x
  2. Step 2: Convert to fraction form
    130,396.50/285,687 = 285,687/x
  3. Step 3: Cross multiply
    130,396.50x = 285,687 × 285,687
  4. Step 4: Simplify right side
    130,396.50x = 81,617,061,969
  5. Step 5: Solve for x
    x = 81,617,061,969/130,396.50
  6. Step 6: Final answer
    x = 625,914.51

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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.