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Finding the Third Proportional to 131,429.25 and 285,000.19

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Solution

The third proportional to 131,429.25 and 285,000.19 is: 618,013.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,429.25 : 285,000.19 = 285,000.19 : x
  2. Step 2: Convert to fraction form
    131,429.25/285,000.19 = 285,000.19/x
  3. Step 3: Cross multiply
    131,429.25x = 285,000.19 × 285,000.19
  4. Step 4: Simplify right side
    131,429.25x = 81,225,106,875.04
  5. Step 5: Solve for x
    x = 81,225,106,875.04/131,429.25
  6. Step 6: Final answer
    x = 618,013.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.