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Finding the Third Proportional to 191,490.75 and 407,193.75

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Solution

The third proportional to 191,490.75 and 407,193.75 is: 865,873.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,490.75 : 407,193.75 = 407,193.75 : x
  2. Step 2: Convert to fraction form
    191,490.75/407,193.75 = 407,193.75/x
  3. Step 3: Cross multiply
    191,490.75x = 407,193.75 × 407,193.75
  4. Step 4: Simplify right side
    191,490.75x = 165,806,750,039.06
  5. Step 5: Solve for x
    x = 165,806,750,039.06/191,490.75
  6. Step 6: Final answer
    x = 865,873.42

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.