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Finding the Third Proportional to 340,082 and 508,345

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Solution

The third proportional to 340,082 and 508,345 is: 759,859.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,082 : 508,345 = 508,345 : x
  2. Step 2: Convert to fraction form
    340,082/508,345 = 508,345/x
  3. Step 3: Cross multiply
    340,082x = 508,345 × 508,345
  4. Step 4: Simplify right side
    340,082x = 258,414,639,025
  5. Step 5: Solve for x
    x = 258,414,639,025/340,082
  6. Step 6: Final answer
    x = 759,859.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.