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Finding the Third Proportional to 148,012 and 319,656

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Solution

The third proportional to 148,012 and 319,656 is: 690,349.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,012 : 319,656 = 319,656 : x
  2. Step 2: Convert to fraction form
    148,012/319,656 = 319,656/x
  3. Step 3: Cross multiply
    148,012x = 319,656 × 319,656
  4. Step 4: Simplify right side
    148,012x = 102,179,958,336
  5. Step 5: Solve for x
    x = 102,179,958,336/148,012
  6. Step 6: Final answer
    x = 690,349.15

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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.