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Finding the Third Proportional to 139,716 and 221,331

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Solution

The third proportional to 139,716 and 221,331 is: 350,621.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,716 : 221,331 = 221,331 : x
  2. Step 2: Convert to fraction form
    139,716/221,331 = 221,331/x
  3. Step 3: Cross multiply
    139,716x = 221,331 × 221,331
  4. Step 4: Simplify right side
    139,716x = 48,987,411,561
  5. Step 5: Solve for x
    x = 48,987,411,561/139,716
  6. Step 6: Final answer
    x = 350,621.34

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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.