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Finding the Third Proportional to 180,147 and 269,212.50

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Solution

The third proportional to 180,147 and 269,212.50 is: 402,312.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,147 : 269,212.50 = 269,212.50 : x
  2. Step 2: Convert to fraction form
    180,147/269,212.50 = 269,212.50/x
  3. Step 3: Cross multiply
    180,147x = 269,212.50 × 269,212.50
  4. Step 4: Simplify right side
    180,147x = 72,475,370,156.25
  5. Step 5: Solve for x
    x = 72,475,370,156.25/180,147
  6. Step 6: Final answer
    x = 402,312.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.