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Finding the Third Proportional to 147,957 and 319,563

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Solution

The third proportional to 147,957 and 319,563 is: 690,203.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,957 : 319,563 = 319,563 : x
  2. Step 2: Convert to fraction form
    147,957/319,563 = 319,563/x
  3. Step 3: Cross multiply
    147,957x = 319,563 × 319,563
  4. Step 4: Simplify right side
    147,957x = 102,120,510,969
  5. Step 5: Solve for x
    x = 102,120,510,969/147,957
  6. Step 6: Final answer
    x = 690,203.98

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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.