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Finding the Third Proportional to 185,823 and 280,475

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Solution

The third proportional to 185,823 and 280,475 is: 423,339.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,823 : 280,475 = 280,475 : x
  2. Step 2: Convert to fraction form
    185,823/280,475 = 280,475/x
  3. Step 3: Cross multiply
    185,823x = 280,475 × 280,475
  4. Step 4: Simplify right side
    185,823x = 78,666,225,625
  5. Step 5: Solve for x
    x = 78,666,225,625/185,823
  6. Step 6: Final answer
    x = 423,339.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.