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Finding the Third Proportional to 286,238.25 and 429,387.75

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Solution

The third proportional to 286,238.25 and 429,387.75 is: 644,127.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,238.25 : 429,387.75 = 429,387.75 : x
  2. Step 2: Convert to fraction form
    286,238.25/429,387.75 = 429,387.75/x
  3. Step 3: Cross multiply
    286,238.25x = 429,387.75 × 429,387.75
  4. Step 4: Simplify right side
    286,238.25x = 184,373,839,850.06
  5. Step 5: Solve for x
    x = 184,373,839,850.06/286,238.25
  6. Step 6: Final answer
    x = 644,127.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.