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Finding the Third Proportional to 308,772 and 461,854

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Solution

The third proportional to 308,772 and 461,854 is: 690,830.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,772 : 461,854 = 461,854 : x
  2. Step 2: Convert to fraction form
    308,772/461,854 = 461,854/x
  3. Step 3: Cross multiply
    308,772x = 461,854 × 461,854
  4. Step 4: Simplify right side
    308,772x = 213,309,117,316
  5. Step 5: Solve for x
    x = 213,309,117,316/308,772
  6. Step 6: Final answer
    x = 690,830.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.