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Finding the Third Proportional to 139,407 and 221,566

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Solution

The third proportional to 139,407 and 221,566 is: 352,145.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,407 : 221,566 = 221,566 : x
  2. Step 2: Convert to fraction form
    139,407/221,566 = 221,566/x
  3. Step 3: Cross multiply
    139,407x = 221,566 × 221,566
  4. Step 4: Simplify right side
    139,407x = 49,091,492,356
  5. Step 5: Solve for x
    x = 49,091,492,356/139,407
  6. Step 6: Final answer
    x = 352,145.10

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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.