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Finding the Third Proportional to 77,384 and 121,296

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Solution

The third proportional to 77,384 and 121,296 is: 190,126.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,384 : 121,296 = 121,296 : x
  2. Step 2: Convert to fraction form
    77,384/121,296 = 121,296/x
  3. Step 3: Cross multiply
    77,384x = 121,296 × 121,296
  4. Step 4: Simplify right side
    77,384x = 14,712,719,616
  5. Step 5: Solve for x
    x = 14,712,719,616/77,384
  6. Step 6: Final answer
    x = 190,126.12

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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.