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Finding the Third Proportional to 62,196 and 93,813.50

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Solution

The third proportional to 62,196 and 93,813.50 is: 141,503.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,196 : 93,813.50 = 93,813.50 : x
  2. Step 2: Convert to fraction form
    62,196/93,813.50 = 93,813.50/x
  3. Step 3: Cross multiply
    62,196x = 93,813.50 × 93,813.50
  4. Step 4: Simplify right side
    62,196x = 8,800,972,782.25
  5. Step 5: Solve for x
    x = 8,800,972,782.25/62,196
  6. Step 6: Final answer
    x = 141,503.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.