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Finding the Third Proportional to 139,324 and 221,417

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Solution

The third proportional to 139,324 and 221,417 is: 351,881.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,324 : 221,417 = 221,417 : x
  2. Step 2: Convert to fraction form
    139,324/221,417 = 221,417/x
  3. Step 3: Cross multiply
    139,324x = 221,417 × 221,417
  4. Step 4: Simplify right side
    139,324x = 49,025,487,889
  5. Step 5: Solve for x
    x = 49,025,487,889/139,324
  6. Step 6: Final answer
    x = 351,881.14

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.