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Finding the Third Proportional to 513,475 and 751,197

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Solution

The third proportional to 513,475 and 751,197 is: 1,098,976.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,475 : 751,197 = 751,197 : x
  2. Step 2: Convert to fraction form
    513,475/751,197 = 751,197/x
  3. Step 3: Cross multiply
    513,475x = 751,197 × 751,197
  4. Step 4: Simplify right side
    513,475x = 564,296,932,809
  5. Step 5: Solve for x
    x = 564,296,932,809/513,475
  6. Step 6: Final answer
    x = 1,098,976.45

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.