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Finding the Third Proportional to 349,236 and 517,306

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Solution

The third proportional to 349,236 and 517,306 is: 766,259.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,236 : 517,306 = 517,306 : x
  2. Step 2: Convert to fraction form
    349,236/517,306 = 517,306/x
  3. Step 3: Cross multiply
    349,236x = 517,306 × 517,306
  4. Step 4: Simplify right side
    349,236x = 267,605,497,636
  5. Step 5: Solve for x
    x = 267,605,497,636/349,236
  6. Step 6: Final answer
    x = 766,259.77

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.