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Finding the Third Proportional to 344,430 and 729,834

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Solution

The third proportional to 344,430 and 729,834 is: 1,546,490.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,430 : 729,834 = 729,834 : x
  2. Step 2: Convert to fraction form
    344,430/729,834 = 729,834/x
  3. Step 3: Cross multiply
    344,430x = 729,834 × 729,834
  4. Step 4: Simplify right side
    344,430x = 532,657,667,556
  5. Step 5: Solve for x
    x = 532,657,667,556/344,430
  6. Step 6: Final answer
    x = 1,546,490.34

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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.