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Finding the Third Proportional to 317,896 and 690,466

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Solution

The third proportional to 317,896 and 690,466 is: 1,499,683.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,896 : 690,466 = 690,466 : x
  2. Step 2: Convert to fraction form
    317,896/690,466 = 690,466/x
  3. Step 3: Cross multiply
    317,896x = 690,466 × 690,466
  4. Step 4: Simplify right side
    317,896x = 476,743,297,156
  5. Step 5: Solve for x
    x = 476,743,297,156/317,896
  6. Step 6: Final answer
    x = 1,499,683.22

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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.