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Finding the Third Proportional to 135,234 and 289,228.50

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Solution

The third proportional to 135,234 and 289,228.50 is: 618,580.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,234 : 289,228.50 = 289,228.50 : x
  2. Step 2: Convert to fraction form
    135,234/289,228.50 = 289,228.50/x
  3. Step 3: Cross multiply
    135,234x = 289,228.50 × 289,228.50
  4. Step 4: Simplify right side
    135,234x = 83,653,125,212.25
  5. Step 5: Solve for x
    x = 83,653,125,212.25/135,234
  6. Step 6: Final answer
    x = 618,580.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.