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Finding the Third Proportional to 456,992 and 711,517

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Solution

The third proportional to 456,992 and 711,517 is: 1,107,801.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,992 : 711,517 = 711,517 : x
  2. Step 2: Convert to fraction form
    456,992/711,517 = 711,517/x
  3. Step 3: Cross multiply
    456,992x = 711,517 × 711,517
  4. Step 4: Simplify right side
    456,992x = 506,256,441,289
  5. Step 5: Solve for x
    x = 506,256,441,289/456,992
  6. Step 6: Final answer
    x = 1,107,801.54

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.