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Finding the Third Proportional to 231,798 and 488,919

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Solution

The third proportional to 231,798 and 488,919 is: 1,031,250.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,798 : 488,919 = 488,919 : x
  2. Step 2: Convert to fraction form
    231,798/488,919 = 488,919/x
  3. Step 3: Cross multiply
    231,798x = 488,919 × 488,919
  4. Step 4: Simplify right side
    231,798x = 239,041,788,561
  5. Step 5: Solve for x
    x = 239,041,788,561/231,798
  6. Step 6: Final answer
    x = 1,031,250.44

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.