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Finding the Third Proportional to 68,210 and 139,700

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Solution

The third proportional to 68,210 and 139,700 is: 286,117.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,210 : 139,700 = 139,700 : x
  2. Step 2: Convert to fraction form
    68,210/139,700 = 139,700/x
  3. Step 3: Cross multiply
    68,210x = 139,700 × 139,700
  4. Step 4: Simplify right side
    68,210x = 19,516,090,000
  5. Step 5: Solve for x
    x = 19,516,090,000/68,210
  6. Step 6: Final answer
    x = 286,117.72

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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.