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Finding the Third Proportional to 71,133.75 and 152,410.50

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Solution

The third proportional to 71,133.75 and 152,410.50 is: 326,553.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,133.75 : 152,410.50 = 152,410.50 : x
  2. Step 2: Convert to fraction form
    71,133.75/152,410.50 = 152,410.50/x
  3. Step 3: Cross multiply
    71,133.75x = 152,410.50 × 152,410.50
  4. Step 4: Simplify right side
    71,133.75x = 23,228,960,510.25
  5. Step 5: Solve for x
    x = 23,228,960,510.25/71,133.75
  6. Step 6: Final answer
    x = 326,553.30

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