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Finding the Third Proportional to 70,032 and 149,780

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Solution

The third proportional to 70,032 and 149,780 is: 320,339.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,032 : 149,780 = 149,780 : x
  2. Step 2: Convert to fraction form
    70,032/149,780 = 149,780/x
  3. Step 3: Cross multiply
    70,032x = 149,780 × 149,780
  4. Step 4: Simplify right side
    70,032x = 22,434,048,400
  5. Step 5: Solve for x
    x = 22,434,048,400/70,032
  6. Step 6: Final answer
    x = 320,339.96

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.