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Finding the Third Proportional to 103,477.50 and 142,479

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Solution

The third proportional to 103,477.50 and 142,479 is: 196,180.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,477.50 : 142,479 = 142,479 : x
  2. Step 2: Convert to fraction form
    103,477.50/142,479 = 142,479/x
  3. Step 3: Cross multiply
    103,477.50x = 142,479 × 142,479
  4. Step 4: Simplify right side
    103,477.50x = 20,300,265,441
  5. Step 5: Solve for x
    x = 20,300,265,441/103,477.50
  6. Step 6: Final answer
    x = 196,180.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.