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Finding the Third Proportional to 215,781 and 319,488

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Solution

The third proportional to 215,781 and 319,488 is: 473,037.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,781 : 319,488 = 319,488 : x
  2. Step 2: Convert to fraction form
    215,781/319,488 = 319,488/x
  3. Step 3: Cross multiply
    215,781x = 319,488 × 319,488
  4. Step 4: Simplify right side
    215,781x = 102,072,582,144
  5. Step 5: Solve for x
    x = 102,072,582,144/215,781
  6. Step 6: Final answer
    x = 473,037.86

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.