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Finding the Third Proportional to 232,719 and 355,846.50

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Solution

The third proportional to 232,719 and 355,846.50 is: 544,118.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,719 : 355,846.50 = 355,846.50 : x
  2. Step 2: Convert to fraction form
    232,719/355,846.50 = 355,846.50/x
  3. Step 3: Cross multiply
    232,719x = 355,846.50 × 355,846.50
  4. Step 4: Simplify right side
    232,719x = 126,626,731,562.25
  5. Step 5: Solve for x
    x = 126,626,731,562.25/232,719
  6. Step 6: Final answer
    x = 544,118.58

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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.