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Finding the Third Proportional to 165,870 and 355,403

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Solution

The third proportional to 165,870 and 355,403 is: 761,507.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,870 : 355,403 = 355,403 : x
  2. Step 2: Convert to fraction form
    165,870/355,403 = 355,403/x
  3. Step 3: Cross multiply
    165,870x = 355,403 × 355,403
  4. Step 4: Simplify right side
    165,870x = 126,311,292,409
  5. Step 5: Solve for x
    x = 126,311,292,409/165,870
  6. Step 6: Final answer
    x = 761,507.76

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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.