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Finding the Third Proportional to 315,695 and 482,939

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Solution

The third proportional to 315,695 and 482,939 is: 738,782.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,695 : 482,939 = 482,939 : x
  2. Step 2: Convert to fraction form
    315,695/482,939 = 482,939/x
  3. Step 3: Cross multiply
    315,695x = 482,939 × 482,939
  4. Step 4: Simplify right side
    315,695x = 233,230,077,721
  5. Step 5: Solve for x
    x = 233,230,077,721/315,695
  6. Step 6: Final answer
    x = 738,782.93

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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.