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Finding the Third Proportional to 340,107 and 508,384

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Solution

The third proportional to 340,107 and 508,384 is: 759,920.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,107 : 508,384 = 508,384 : x
  2. Step 2: Convert to fraction form
    340,107/508,384 = 508,384/x
  3. Step 3: Cross multiply
    340,107x = 508,384 × 508,384
  4. Step 4: Simplify right side
    340,107x = 258,454,291,456
  5. Step 5: Solve for x
    x = 258,454,291,456/340,107
  6. Step 6: Final answer
    x = 759,920.53

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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.