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Finding the Third Proportional to 323,763 and 506,778

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Solution

The third proportional to 323,763 and 506,778 is: 793,246.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,763 : 506,778 = 506,778 : x
  2. Step 2: Convert to fraction form
    323,763/506,778 = 506,778/x
  3. Step 3: Cross multiply
    323,763x = 506,778 × 506,778
  4. Step 4: Simplify right side
    323,763x = 256,823,941,284
  5. Step 5: Solve for x
    x = 256,823,941,284/323,763
  6. Step 6: Final answer
    x = 793,246.73

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.