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Finding the Third Proportional to 139,724 and 221,402

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Solution

The third proportional to 139,724 and 221,402 is: 350,826.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,724 : 221,402 = 221,402 : x
  2. Step 2: Convert to fraction form
    139,724/221,402 = 221,402/x
  3. Step 3: Cross multiply
    139,724x = 221,402 × 221,402
  4. Step 4: Simplify right side
    139,724x = 49,018,845,604
  5. Step 5: Solve for x
    x = 49,018,845,604/139,724
  6. Step 6: Final answer
    x = 350,826.24

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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.