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Finding the Third Proportional to 131,149.13 and 286,007.63

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Solution

The third proportional to 131,149.13 and 286,007.63 is: 623,720.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,149.13 : 286,007.63 = 286,007.63 : x
  2. Step 2: Convert to fraction form
    131,149.13/286,007.63 = 286,007.63/x
  3. Step 3: Cross multiply
    131,149.13x = 286,007.63 × 286,007.63
  4. Step 4: Simplify right side
    131,149.13x = 81,800,361,558.14
  5. Step 5: Solve for x
    x = 81,800,361,558.14/131,149.13
  6. Step 6: Final answer
    x = 623,720.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.