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Finding the Third Proportional to 515,100 and 797,574

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Solution

The third proportional to 515,100 and 797,574 is: 1,234,952.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,100 : 797,574 = 797,574 : x
  2. Step 2: Convert to fraction form
    515,100/797,574 = 797,574/x
  3. Step 3: Cross multiply
    515,100x = 797,574 × 797,574
  4. Step 4: Simplify right side
    515,100x = 636,124,285,476
  5. Step 5: Solve for x
    x = 636,124,285,476/515,100
  6. Step 6: Final answer
    x = 1,234,952.99

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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.