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Finding the Third Proportional to 347,760 and 761,940

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Solution

The third proportional to 347,760 and 761,940 is: 1,669,405.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,760 : 761,940 = 761,940 : x
  2. Step 2: Convert to fraction form
    347,760/761,940 = 761,940/x
  3. Step 3: Cross multiply
    347,760x = 761,940 × 761,940
  4. Step 4: Simplify right side
    347,760x = 580,552,563,600
  5. Step 5: Solve for x
    x = 580,552,563,600/347,760
  6. Step 6: Final answer
    x = 1,669,405.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.