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Finding the Third Proportional to 215,827 and 319,552

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Solution

The third proportional to 215,827 and 319,552 is: 473,126.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,827 : 319,552 = 319,552 : x
  2. Step 2: Convert to fraction form
    215,827/319,552 = 319,552/x
  3. Step 3: Cross multiply
    215,827x = 319,552 × 319,552
  4. Step 4: Simplify right side
    215,827x = 102,113,480,704
  5. Step 5: Solve for x
    x = 102,113,480,704/215,827
  6. Step 6: Final answer
    x = 473,126.54

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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.