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Finding the Third Proportional to 177,445.69 and 390,374.86

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Solution

The third proportional to 177,445.69 and 390,374.86 is: 858,812.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,445.69 : 390,374.86 = 390,374.86 : x
  2. Step 2: Convert to fraction form
    177,445.69/390,374.86 = 390,374.86/x
  3. Step 3: Cross multiply
    177,445.69x = 390,374.86 × 390,374.86
  4. Step 4: Simplify right side
    177,445.69x = 152,392,530,832.05
  5. Step 5: Solve for x
    x = 152,392,530,832.05/177,445.69
  6. Step 6: Final answer
    x = 858,812.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.