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Finding the Third Proportional to 201,686 and 442,730

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Solution

The third proportional to 201,686 and 442,730 is: 971,856.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,686 : 442,730 = 442,730 : x
  2. Step 2: Convert to fraction form
    201,686/442,730 = 442,730/x
  3. Step 3: Cross multiply
    201,686x = 442,730 × 442,730
  4. Step 4: Simplify right side
    201,686x = 196,009,852,900
  5. Step 5: Solve for x
    x = 196,009,852,900/201,686
  6. Step 6: Final answer
    x = 971,856.51

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.