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Finding the Third Proportional to 399,012.75 and 602,657.25

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Solution

The third proportional to 399,012.75 and 602,657.25 is: 910,235.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,012.75 : 602,657.25 = 602,657.25 : x
  2. Step 2: Convert to fraction form
    399,012.75/602,657.25 = 602,657.25/x
  3. Step 3: Cross multiply
    399,012.75x = 602,657.25 × 602,657.25
  4. Step 4: Simplify right side
    399,012.75x = 363,195,760,977.56
  5. Step 5: Solve for x
    x = 363,195,760,977.56/399,012.75
  6. Step 6: Final answer
    x = 910,235.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.