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Finding the Third Proportional to 148,564 and 320,229

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Solution

The third proportional to 148,564 and 320,229 is: 690,252.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,564 : 320,229 = 320,229 : x
  2. Step 2: Convert to fraction form
    148,564/320,229 = 320,229/x
  3. Step 3: Cross multiply
    148,564x = 320,229 × 320,229
  4. Step 4: Simplify right side
    148,564x = 102,546,612,441
  5. Step 5: Solve for x
    x = 102,546,612,441/148,564
  6. Step 6: Final answer
    x = 690,252.10

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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.