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Finding the Third Proportional to 77,013 and 155,169.75

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Solution

The third proportional to 77,013 and 155,169.75 is: 312,643.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,013 : 155,169.75 = 155,169.75 : x
  2. Step 2: Convert to fraction form
    77,013/155,169.75 = 155,169.75/x
  3. Step 3: Cross multiply
    77,013x = 155,169.75 × 155,169.75
  4. Step 4: Simplify right side
    77,013x = 24,077,651,315.06
  5. Step 5: Solve for x
    x = 24,077,651,315.06/77,013
  6. Step 6: Final answer
    x = 312,643.99

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Why These Related Problems?

These problems maintain the same ratio (2.01) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.