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Finding the Third Proportional to 139,446 and 209,487

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Solution

The third proportional to 139,446 and 209,487 is: 314,708.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,446 : 209,487 = 209,487 : x
  2. Step 2: Convert to fraction form
    139,446/209,487 = 209,487/x
  3. Step 3: Cross multiply
    139,446x = 209,487 × 209,487
  4. Step 4: Simplify right side
    139,446x = 43,884,803,169
  5. Step 5: Solve for x
    x = 43,884,803,169/139,446
  6. Step 6: Final answer
    x = 314,708.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.