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Finding the Third Proportional to 139,718 and 221,332

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Solution

The third proportional to 139,718 and 221,332 is: 350,619.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,718 : 221,332 = 221,332 : x
  2. Step 2: Convert to fraction form
    139,718/221,332 = 221,332/x
  3. Step 3: Cross multiply
    139,718x = 221,332 × 221,332
  4. Step 4: Simplify right side
    139,718x = 48,987,854,224
  5. Step 5: Solve for x
    x = 48,987,854,224/139,718
  6. Step 6: Final answer
    x = 350,619.49

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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.