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Finding the Third Proportional to 148,161 and 319,485

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Solution

The third proportional to 148,161 and 319,485 is: 688,917.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,161 : 319,485 = 319,485 : x
  2. Step 2: Convert to fraction form
    148,161/319,485 = 319,485/x
  3. Step 3: Cross multiply
    148,161x = 319,485 × 319,485
  4. Step 4: Simplify right side
    148,161x = 102,070,665,225
  5. Step 5: Solve for x
    x = 102,070,665,225/148,161
  6. Step 6: Final answer
    x = 688,917.23

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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.