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Finding the Third Proportional to 68,220 and 139,820

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Solution

The third proportional to 68,220 and 139,820 is: 286,567.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,220 : 139,820 = 139,820 : x
  2. Step 2: Convert to fraction form
    68,220/139,820 = 139,820/x
  3. Step 3: Cross multiply
    68,220x = 139,820 × 139,820
  4. Step 4: Simplify right side
    68,220x = 19,549,632,400
  5. Step 5: Solve for x
    x = 19,549,632,400/68,220
  6. Step 6: Final answer
    x = 286,567.46

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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.