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Finding the Third Proportional to 342,321 and 500,805

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Solution

The third proportional to 342,321 and 500,805 is: 732,662.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,321 : 500,805 = 500,805 : x
  2. Step 2: Convert to fraction form
    342,321/500,805 = 500,805/x
  3. Step 3: Cross multiply
    342,321x = 500,805 × 500,805
  4. Step 4: Simplify right side
    342,321x = 250,805,648,025
  5. Step 5: Solve for x
    x = 250,805,648,025/342,321
  6. Step 6: Final answer
    x = 732,662.17

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.