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Finding the Third Proportional to 68,810.77 and 145,891.13

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Solution

The third proportional to 68,810.77 and 145,891.13 is: 309,315.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,810.77 : 145,891.13 = 145,891.13 : x
  2. Step 2: Convert to fraction form
    68,810.77/145,891.13 = 145,891.13/x
  3. Step 3: Cross multiply
    68,810.77x = 145,891.13 × 145,891.13
  4. Step 4: Simplify right side
    68,810.77x = 21,284,220,353.77
  5. Step 5: Solve for x
    x = 21,284,220,353.77/68,810.77
  6. Step 6: Final answer
    x = 309,315.27

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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.