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Finding the Third Proportional to 203,752 and 442,533

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Solution

The third proportional to 203,752 and 442,533 is: 961,146.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,752 : 442,533 = 442,533 : x
  2. Step 2: Convert to fraction form
    203,752/442,533 = 442,533/x
  3. Step 3: Cross multiply
    203,752x = 442,533 × 442,533
  4. Step 4: Simplify right side
    203,752x = 195,835,456,089
  5. Step 5: Solve for x
    x = 195,835,456,089/203,752
  6. Step 6: Final answer
    x = 961,146.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.