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Finding the Third Proportional to 203,840 and 432,344

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Solution

The third proportional to 203,840 and 432,344 is: 917,000.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,840 : 432,344 = 432,344 : x
  2. Step 2: Convert to fraction form
    203,840/432,344 = 432,344/x
  3. Step 3: Cross multiply
    203,840x = 432,344 × 432,344
  4. Step 4: Simplify right side
    203,840x = 186,921,334,336
  5. Step 5: Solve for x
    x = 186,921,334,336/203,840
  6. Step 6: Final answer
    x = 917,000.27

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.