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Finding the Third Proportional to 67,069.13 and 142,133.63

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Solution

The third proportional to 67,069.13 and 142,133.63 is: 301,211.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,069.13 : 142,133.63 = 142,133.63 : x
  2. Step 2: Convert to fraction form
    67,069.13/142,133.63 = 142,133.63/x
  3. Step 3: Cross multiply
    67,069.13x = 142,133.63 × 142,133.63
  4. Step 4: Simplify right side
    67,069.13x = 20,201,967,355.64
  5. Step 5: Solve for x
    x = 20,201,967,355.64/67,069.13
  6. Step 6: Final answer
    x = 301,211.14

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.