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Finding the Third Proportional to 206,424 and 314,972

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Solution

The third proportional to 206,424 and 314,972 is: 480,599.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,424 : 314,972 = 314,972 : x
  2. Step 2: Convert to fraction form
    206,424/314,972 = 314,972/x
  3. Step 3: Cross multiply
    206,424x = 314,972 × 314,972
  4. Step 4: Simplify right side
    206,424x = 99,207,360,784
  5. Step 5: Solve for x
    x = 99,207,360,784/206,424
  6. Step 6: Final answer
    x = 480,599.93

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.