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Finding the Third Proportional to 132,994.13 and 288,121.50

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Solution

The third proportional to 132,994.13 and 288,121.50 is: 624,192.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,994.13 : 288,121.50 = 288,121.50 : x
  2. Step 2: Convert to fraction form
    132,994.13/288,121.50 = 288,121.50/x
  3. Step 3: Cross multiply
    132,994.13x = 288,121.50 × 288,121.50
  4. Step 4: Simplify right side
    132,994.13x = 83,013,998,762.25
  5. Step 5: Solve for x
    x = 83,013,998,762.25/132,994.13
  6. Step 6: Final answer
    x = 624,192.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.