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Finding the Third Proportional to 233,732 and 334,207

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Solution

The third proportional to 233,732 and 334,207 is: 477,873.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,732 : 334,207 = 334,207 : x
  2. Step 2: Convert to fraction form
    233,732/334,207 = 334,207/x
  3. Step 3: Cross multiply
    233,732x = 334,207 × 334,207
  4. Step 4: Simplify right side
    233,732x = 111,694,318,849
  5. Step 5: Solve for x
    x = 111,694,318,849/233,732
  6. Step 6: Final answer
    x = 477,873.46

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.