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Finding the Third Proportional to 78,963 and 104,332.50

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Solution

The third proportional to 78,963 and 104,332.50 is: 137,852.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,963 : 104,332.50 = 104,332.50 : x
  2. Step 2: Convert to fraction form
    78,963/104,332.50 = 104,332.50/x
  3. Step 3: Cross multiply
    78,963x = 104,332.50 × 104,332.50
  4. Step 4: Simplify right side
    78,963x = 10,885,270,556.25
  5. Step 5: Solve for x
    x = 10,885,270,556.25/78,963
  6. Step 6: Final answer
    x = 137,852.80

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.