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Finding the Third Proportional to 139,718 and 221,334

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Solution

The third proportional to 139,718 and 221,334 is: 350,625.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,718 : 221,334 = 221,334 : x
  2. Step 2: Convert to fraction form
    139,718/221,334 = 221,334/x
  3. Step 3: Cross multiply
    139,718x = 221,334 × 221,334
  4. Step 4: Simplify right side
    139,718x = 48,988,739,556
  5. Step 5: Solve for x
    x = 48,988,739,556/139,718
  6. Step 6: Final answer
    x = 350,625.83

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.