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Finding the Third Proportional to 508,721 and 786,983

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Solution

The third proportional to 508,721 and 786,983 is: 1,217,449.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,721 : 786,983 = 786,983 : x
  2. Step 2: Convert to fraction form
    508,721/786,983 = 786,983/x
  3. Step 3: Cross multiply
    508,721x = 786,983 × 786,983
  4. Step 4: Simplify right side
    508,721x = 619,342,242,289
  5. Step 5: Solve for x
    x = 619,342,242,289/508,721
  6. Step 6: Final answer
    x = 1,217,449.73

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.