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Finding the Third Proportional to 148,617 and 320,454

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Solution

The third proportional to 148,617 and 320,454 is: 690,975.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,617 : 320,454 = 320,454 : x
  2. Step 2: Convert to fraction form
    148,617/320,454 = 320,454/x
  3. Step 3: Cross multiply
    148,617x = 320,454 × 320,454
  4. Step 4: Simplify right side
    148,617x = 102,690,766,116
  5. Step 5: Solve for x
    x = 102,690,766,116/148,617
  6. Step 6: Final answer
    x = 690,975.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.