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Finding the Third Proportional to 77,904 and 122,076

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Solution

The third proportional to 77,904 and 122,076 is: 191,293.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,904 : 122,076 = 122,076 : x
  2. Step 2: Convert to fraction form
    77,904/122,076 = 122,076/x
  3. Step 3: Cross multiply
    77,904x = 122,076 × 122,076
  4. Step 4: Simplify right side
    77,904x = 14,902,549,776
  5. Step 5: Solve for x
    x = 14,902,549,776/77,904
  6. Step 6: Final answer
    x = 191,293.77

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.