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Finding the Third Proportional to 68,176.69 and 139,735.13

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Solution

The third proportional to 68,176.69 and 139,735.13 is: 286,401.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,176.69 : 139,735.13 = 139,735.13 : x
  2. Step 2: Convert to fraction form
    68,176.69/139,735.13 = 139,735.13/x
  3. Step 3: Cross multiply
    68,176.69x = 139,735.13 × 139,735.13
  4. Step 4: Simplify right side
    68,176.69x = 19,525,905,158.77
  5. Step 5: Solve for x
    x = 19,525,905,158.77/68,176.69
  6. Step 6: Final answer
    x = 286,401.49

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.