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Finding the Third Proportional to 201,046 and 442,072

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Solution

The third proportional to 201,046 and 442,072 is: 972,054.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,046 : 442,072 = 442,072 : x
  2. Step 2: Convert to fraction form
    201,046/442,072 = 442,072/x
  3. Step 3: Cross multiply
    201,046x = 442,072 × 442,072
  4. Step 4: Simplify right side
    201,046x = 195,427,653,184
  5. Step 5: Solve for x
    x = 195,427,653,184/201,046
  6. Step 6: Final answer
    x = 972,054.42

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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.