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Finding the Third Proportional to 181,876 and 280,590

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Solution

The third proportional to 181,876 and 280,590 is: 432,881.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,876 : 280,590 = 280,590 : x
  2. Step 2: Convert to fraction form
    181,876/280,590 = 280,590/x
  3. Step 3: Cross multiply
    181,876x = 280,590 × 280,590
  4. Step 4: Simplify right side
    181,876x = 78,730,748,100
  5. Step 5: Solve for x
    x = 78,730,748,100/181,876
  6. Step 6: Final answer
    x = 432,881.46

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.