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Finding the Third Proportional to 379,307 and 814,840

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Solution

The third proportional to 379,307 and 814,840 is: 1,750,466.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,307 : 814,840 = 814,840 : x
  2. Step 2: Convert to fraction form
    379,307/814,840 = 814,840/x
  3. Step 3: Cross multiply
    379,307x = 814,840 × 814,840
  4. Step 4: Simplify right side
    379,307x = 663,964,225,600
  5. Step 5: Solve for x
    x = 663,964,225,600/379,307
  6. Step 6: Final answer
    x = 1,750,466.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.