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Finding the Third Proportional to 103,482 and 142,485

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Solution

The third proportional to 103,482 and 142,485 is: 196,188.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,482 : 142,485 = 142,485 : x
  2. Step 2: Convert to fraction form
    103,482/142,485 = 142,485/x
  3. Step 3: Cross multiply
    103,482x = 142,485 × 142,485
  4. Step 4: Simplify right side
    103,482x = 20,301,975,225
  5. Step 5: Solve for x
    x = 20,301,975,225/103,482
  6. Step 6: Final answer
    x = 196,188.47

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Why These Related Problems?

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