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Finding the Third Proportional to 312,886.13 and 419,502.38

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Solution

The third proportional to 312,886.13 and 419,502.38 is: 562,448.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,886.13 : 419,502.38 = 419,502.38 : x
  2. Step 2: Convert to fraction form
    312,886.13/419,502.38 = 419,502.38/x
  3. Step 3: Cross multiply
    312,886.13x = 419,502.38 × 419,502.38
  4. Step 4: Simplify right side
    312,886.13x = 175,982,242,630.64
  5. Step 5: Solve for x
    x = 175,982,242,630.64/312,886.13
  6. Step 6: Final answer
    x = 562,448.22

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.