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Finding the Third Proportional to 149,218 and 320,522

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Solution

The third proportional to 149,218 and 320,522 is: 688,484.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,218 : 320,522 = 320,522 : x
  2. Step 2: Convert to fraction form
    149,218/320,522 = 320,522/x
  3. Step 3: Cross multiply
    149,218x = 320,522 × 320,522
  4. Step 4: Simplify right side
    149,218x = 102,734,352,484
  5. Step 5: Solve for x
    x = 102,734,352,484/149,218
  6. Step 6: Final answer
    x = 688,484.98

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.