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Finding the Third Proportional to 88,341 and 140,706.50

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Solution

The third proportional to 88,341 and 140,706.50 is: 224,112.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,341 : 140,706.50 = 140,706.50 : x
  2. Step 2: Convert to fraction form
    88,341/140,706.50 = 140,706.50/x
  3. Step 3: Cross multiply
    88,341x = 140,706.50 × 140,706.50
  4. Step 4: Simplify right side
    88,341x = 19,798,319,142.25
  5. Step 5: Solve for x
    x = 19,798,319,142.25/88,341
  6. Step 6: Final answer
    x = 224,112.46

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.