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Finding the Third Proportional to 347,013 and 803,261

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Solution

The third proportional to 347,013 and 803,261 is: 1,859,377.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,013 : 803,261 = 803,261 : x
  2. Step 2: Convert to fraction form
    347,013/803,261 = 803,261/x
  3. Step 3: Cross multiply
    347,013x = 803,261 × 803,261
  4. Step 4: Simplify right side
    347,013x = 645,228,234,121
  5. Step 5: Solve for x
    x = 645,228,234,121/347,013
  6. Step 6: Final answer
    x = 1,859,377.70

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.