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Finding the Third Proportional to 139,818 and 299,409

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Solution

The third proportional to 139,818 and 299,409 is: 641,160.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,818 : 299,409 = 299,409 : x
  2. Step 2: Convert to fraction form
    139,818/299,409 = 299,409/x
  3. Step 3: Cross multiply
    139,818x = 299,409 × 299,409
  4. Step 4: Simplify right side
    139,818x = 89,645,749,281
  5. Step 5: Solve for x
    x = 89,645,749,281/139,818
  6. Step 6: Final answer
    x = 641,160.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.