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Finding the Third Proportional to 68,580 and 139,068

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Solution

The third proportional to 68,580 and 139,068 is: 282,005.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,580 : 139,068 = 139,068 : x
  2. Step 2: Convert to fraction form
    68,580/139,068 = 139,068/x
  3. Step 3: Cross multiply
    68,580x = 139,068 × 139,068
  4. Step 4: Simplify right side
    68,580x = 19,339,908,624
  5. Step 5: Solve for x
    x = 19,339,908,624/68,580
  6. Step 6: Final answer
    x = 282,005.08

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.