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Finding the Third Proportional to 165,557 and 357,579

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Solution

The third proportional to 165,557 and 357,579 is: 772,318.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,557 : 357,579 = 357,579 : x
  2. Step 2: Convert to fraction form
    165,557/357,579 = 357,579/x
  3. Step 3: Cross multiply
    165,557x = 357,579 × 357,579
  4. Step 4: Simplify right side
    165,557x = 127,862,741,241
  5. Step 5: Solve for x
    x = 127,862,741,241/165,557
  6. Step 6: Final answer
    x = 772,318.54

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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.