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Finding the Third Proportional to 344,047 and 729,890

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Solution

The third proportional to 344,047 and 729,890 is: 1,548,449.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,047 : 729,890 = 729,890 : x
  2. Step 2: Convert to fraction form
    344,047/729,890 = 729,890/x
  3. Step 3: Cross multiply
    344,047x = 729,890 × 729,890
  4. Step 4: Simplify right side
    344,047x = 532,739,412,100
  5. Step 5: Solve for x
    x = 532,739,412,100/344,047
  6. Step 6: Final answer
    x = 1,548,449.52

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.