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Finding the Third Proportional to 173,431.69 and 386,278.31

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Solution

The third proportional to 173,431.69 and 386,278.31 is: 860,344.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,431.69 : 386,278.31 = 386,278.31 : x
  2. Step 2: Convert to fraction form
    173,431.69/386,278.31 = 386,278.31/x
  3. Step 3: Cross multiply
    173,431.69x = 386,278.31 × 386,278.31
  4. Step 4: Simplify right side
    173,431.69x = 149,210,934,707.85
  5. Step 5: Solve for x
    x = 149,210,934,707.85/173,431.69
  6. Step 6: Final answer
    x = 860,344.13

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.