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Finding the Third Proportional to 70,130.81 and 150,310.69

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Solution

The third proportional to 70,130.81 and 150,310.69 is: 322,159.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,130.81 : 150,310.69 = 150,310.69 : x
  2. Step 2: Convert to fraction form
    70,130.81/150,310.69 = 150,310.69/x
  3. Step 3: Cross multiply
    70,130.81x = 150,310.69 × 150,310.69
  4. Step 4: Simplify right side
    70,130.81x = 22,593,302,776.72
  5. Step 5: Solve for x
    x = 22,593,302,776.72/70,130.81
  6. Step 6: Final answer
    x = 322,159.43

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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.