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Finding the Third Proportional to 78,552 and 166,202.50

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Solution

The third proportional to 78,552 and 166,202.50 is: 351,655.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,552 : 166,202.50 = 166,202.50 : x
  2. Step 2: Convert to fraction form
    78,552/166,202.50 = 166,202.50/x
  3. Step 3: Cross multiply
    78,552x = 166,202.50 × 166,202.50
  4. Step 4: Simplify right side
    78,552x = 27,623,271,006.25
  5. Step 5: Solve for x
    x = 27,623,271,006.25/78,552
  6. Step 6: Final answer
    x = 351,655.86

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.