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Finding the Third Proportional to 148,369.50 and 321,363

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Solution

The third proportional to 148,369.50 and 321,363 is: 696,060.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,369.50 : 321,363 = 321,363 : x
  2. Step 2: Convert to fraction form
    148,369.50/321,363 = 321,363/x
  3. Step 3: Cross multiply
    148,369.50x = 321,363 × 321,363
  4. Step 4: Simplify right side
    148,369.50x = 103,274,177,769
  5. Step 5: Solve for x
    x = 103,274,177,769/148,369.50
  6. Step 6: Final answer
    x = 696,060.70

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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.