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Finding the Third Proportional to 78,970.78 and 128,936.81

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Solution

The third proportional to 78,970.78 and 128,936.81 is: 210,517.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,970.78 : 128,936.81 = 128,936.81 : x
  2. Step 2: Convert to fraction form
    78,970.78/128,936.81 = 128,936.81/x
  3. Step 3: Cross multiply
    78,970.78x = 128,936.81 × 128,936.81
  4. Step 4: Simplify right side
    78,970.78x = 16,624,701,617.66
  5. Step 5: Solve for x
    x = 16,624,701,617.66/78,970.78
  6. Step 6: Final answer
    x = 210,517.12

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.