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Finding the Third Proportional to 78,894.56 and 110,970.84

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Solution

The third proportional to 78,894.56 and 110,970.84 is: 156,088.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,894.56 : 110,970.84 = 110,970.84 : x
  2. Step 2: Convert to fraction form
    78,894.56/110,970.84 = 110,970.84/x
  3. Step 3: Cross multiply
    78,894.56x = 110,970.84 × 110,970.84
  4. Step 4: Simplify right side
    78,894.56x = 12,314,528,162.59
  5. Step 5: Solve for x
    x = 12,314,528,162.59/78,894.56
  6. Step 6: Final answer
    x = 156,088.43

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.