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Finding the Third Proportional to 147,456 and 319,877

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Solution

The third proportional to 147,456 and 319,877 is: 693,910.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,456 : 319,877 = 319,877 : x
  2. Step 2: Convert to fraction form
    147,456/319,877 = 319,877/x
  3. Step 3: Cross multiply
    147,456x = 319,877 × 319,877
  4. Step 4: Simplify right side
    147,456x = 102,321,295,129
  5. Step 5: Solve for x
    x = 102,321,295,129/147,456
  6. Step 6: Final answer
    x = 693,910.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.