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Finding the Third Proportional to 165,603 and 357,414

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Solution

The third proportional to 165,603 and 357,414 is: 771,391.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,603 : 357,414 = 357,414 : x
  2. Step 2: Convert to fraction form
    165,603/357,414 = 357,414/x
  3. Step 3: Cross multiply
    165,603x = 357,414 × 357,414
  4. Step 4: Simplify right side
    165,603x = 127,744,767,396
  5. Step 5: Solve for x
    x = 127,744,767,396/165,603
  6. Step 6: Final answer
    x = 771,391.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.