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Finding the Third Proportional to 136,410 and 318,609

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Solution

The third proportional to 136,410 and 318,609 is: 744,166.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,410 : 318,609 = 318,609 : x
  2. Step 2: Convert to fraction form
    136,410/318,609 = 318,609/x
  3. Step 3: Cross multiply
    136,410x = 318,609 × 318,609
  4. Step 4: Simplify right side
    136,410x = 101,511,694,881
  5. Step 5: Solve for x
    x = 101,511,694,881/136,410
  6. Step 6: Final answer
    x = 744,166.08

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.