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Finding the Third Proportional to 402,456 and 544,634

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Solution

The third proportional to 402,456 and 544,634 is: 737,040.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,456 : 544,634 = 544,634 : x
  2. Step 2: Convert to fraction form
    402,456/544,634 = 544,634/x
  3. Step 3: Cross multiply
    402,456x = 544,634 × 544,634
  4. Step 4: Simplify right side
    402,456x = 296,626,193,956
  5. Step 5: Solve for x
    x = 296,626,193,956/402,456
  6. Step 6: Final answer
    x = 737,040.06

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.