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Finding the Third Proportional to 188,840 and 402,952

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Solution

The third proportional to 188,840 and 402,952 is: 859,830.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,840 : 402,952 = 402,952 : x
  2. Step 2: Convert to fraction form
    188,840/402,952 = 402,952/x
  3. Step 3: Cross multiply
    188,840x = 402,952 × 402,952
  4. Step 4: Simplify right side
    188,840x = 162,370,314,304
  5. Step 5: Solve for x
    x = 162,370,314,304/188,840
  6. Step 6: Final answer
    x = 859,830.09

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.