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Finding the Third Proportional to 127,859 and 191,788

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Solution

The third proportional to 127,859 and 191,788 is: 287,681.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,859 : 191,788 = 191,788 : x
  2. Step 2: Convert to fraction form
    127,859/191,788 = 191,788/x
  3. Step 3: Cross multiply
    127,859x = 191,788 × 191,788
  4. Step 4: Simplify right side
    127,859x = 36,782,636,944
  5. Step 5: Solve for x
    x = 36,782,636,944/127,859
  6. Step 6: Final answer
    x = 287,681.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.