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Finding the Third Proportional to 147,210 and 318,822

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Solution

The third proportional to 147,210 and 318,822 is: 690,492.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,210 : 318,822 = 318,822 : x
  2. Step 2: Convert to fraction form
    147,210/318,822 = 318,822/x
  3. Step 3: Cross multiply
    147,210x = 318,822 × 318,822
  4. Step 4: Simplify right side
    147,210x = 101,647,467,684
  5. Step 5: Solve for x
    x = 101,647,467,684/147,210
  6. Step 6: Final answer
    x = 690,492.95

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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.