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Finding the Third Proportional to 307,816 and 491,750

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Solution

The third proportional to 307,816 and 491,750 is: 785,592.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,816 : 491,750 = 491,750 : x
  2. Step 2: Convert to fraction form
    307,816/491,750 = 491,750/x
  3. Step 3: Cross multiply
    307,816x = 491,750 × 491,750
  4. Step 4: Simplify right side
    307,816x = 241,818,062,500
  5. Step 5: Solve for x
    x = 241,818,062,500/307,816
  6. Step 6: Final answer
    x = 785,592.89

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.