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Finding the Third Proportional to 144,990 and 218,376

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Solution

The third proportional to 144,990 and 218,376 is: 328,905.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,990 : 218,376 = 218,376 : x
  2. Step 2: Convert to fraction form
    144,990/218,376 = 218,376/x
  3. Step 3: Cross multiply
    144,990x = 218,376 × 218,376
  4. Step 4: Simplify right side
    144,990x = 47,688,077,376
  5. Step 5: Solve for x
    x = 47,688,077,376/144,990
  6. Step 6: Final answer
    x = 328,905.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.