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Finding the Third Proportional to 349,328 and 711,502

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Solution

The third proportional to 349,328 and 711,502 is: 1,449,168.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,328 : 711,502 = 711,502 : x
  2. Step 2: Convert to fraction form
    349,328/711,502 = 711,502/x
  3. Step 3: Cross multiply
    349,328x = 711,502 × 711,502
  4. Step 4: Simplify right side
    349,328x = 506,235,096,004
  5. Step 5: Solve for x
    x = 506,235,096,004/349,328
  6. Step 6: Final answer
    x = 1,449,168.39

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.