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Finding the Third Proportional to 258,788.81 and 397,221.75

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Solution

The third proportional to 258,788.81 and 397,221.75 is: 609,706.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,788.81 : 397,221.75 = 397,221.75 : x
  2. Step 2: Convert to fraction form
    258,788.81/397,221.75 = 397,221.75/x
  3. Step 3: Cross multiply
    258,788.81x = 397,221.75 × 397,221.75
  4. Step 4: Simplify right side
    258,788.81x = 157,785,118,673.06
  5. Step 5: Solve for x
    x = 157,785,118,673.06/258,788.81
  6. Step 6: Final answer
    x = 609,706.10

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.