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Finding the Third Proportional to 258,597.50 and 403,612.38

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Solution

The third proportional to 258,597.50 and 403,612.38 is: 629,947.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,597.50 : 403,612.38 = 403,612.38 : x
  2. Step 2: Convert to fraction form
    258,597.50/403,612.38 = 403,612.38/x
  3. Step 3: Cross multiply
    258,597.50x = 403,612.38 × 403,612.38
  4. Step 4: Simplify right side
    258,597.50x = 162,902,949,253.14
  5. Step 5: Solve for x
    x = 162,902,949,253.14/258,597.50
  6. Step 6: Final answer
    x = 629,947.89

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.