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Finding the Third Proportional to 513,391 and 798,086

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Solution

The third proportional to 513,391 and 798,086 is: 1,240,655.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,391 : 798,086 = 798,086 : x
  2. Step 2: Convert to fraction form
    513,391/798,086 = 798,086/x
  3. Step 3: Cross multiply
    513,391x = 798,086 × 798,086
  4. Step 4: Simplify right side
    513,391x = 636,941,263,396
  5. Step 5: Solve for x
    x = 636,941,263,396/513,391
  6. Step 6: Final answer
    x = 1,240,655.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.