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Finding the Third Proportional to 317,922 and 690,520

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Solution

The third proportional to 317,922 and 690,520 is: 1,499,795.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,922 : 690,520 = 690,520 : x
  2. Step 2: Convert to fraction form
    317,922/690,520 = 690,520/x
  3. Step 3: Cross multiply
    317,922x = 690,520 × 690,520
  4. Step 4: Simplify right side
    317,922x = 476,817,870,400
  5. Step 5: Solve for x
    x = 476,817,870,400/317,922
  6. Step 6: Final answer
    x = 1,499,795.14

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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.