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Finding the Third Proportional to 77,888 and 118,370

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Solution

The third proportional to 77,888 and 118,370 is: 179,892.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,888 : 118,370 = 118,370 : x
  2. Step 2: Convert to fraction form
    77,888/118,370 = 118,370/x
  3. Step 3: Cross multiply
    77,888x = 118,370 × 118,370
  4. Step 4: Simplify right side
    77,888x = 14,011,456,900
  5. Step 5: Solve for x
    x = 14,011,456,900/77,888
  6. Step 6: Final answer
    x = 179,892.37

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.