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Finding the Third Proportional to 77,856.35 and 121,972.24

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Solution

The third proportional to 77,856.35 and 121,972.24 is: 191,085.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,856.35 : 121,972.24 = 121,972.24 : x
  2. Step 2: Convert to fraction form
    77,856.35/121,972.24 = 121,972.24/x
  3. Step 3: Cross multiply
    77,856.35x = 121,972.24 × 121,972.24
  4. Step 4: Simplify right side
    77,856.35x = 14,877,226,434.88
  5. Step 5: Solve for x
    x = 14,877,226,434.88/77,856.35
  6. Step 6: Final answer
    x = 191,085.60

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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.