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Finding the Third Proportional to 349,713 and 531,407

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Solution

The third proportional to 349,713 and 531,407 is: 807,500.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,713 : 531,407 = 531,407 : x
  2. Step 2: Convert to fraction form
    349,713/531,407 = 531,407/x
  3. Step 3: Cross multiply
    349,713x = 531,407 × 531,407
  4. Step 4: Simplify right side
    349,713x = 282,393,399,649
  5. Step 5: Solve for x
    x = 282,393,399,649/349,713
  6. Step 6: Final answer
    x = 807,500.44

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.