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Finding the Third Proportional to 515,420 and 725,826

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Solution

The third proportional to 515,420 and 725,826 is: 1,022,124.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,420 : 725,826 = 725,826 : x
  2. Step 2: Convert to fraction form
    515,420/725,826 = 725,826/x
  3. Step 3: Cross multiply
    515,420x = 725,826 × 725,826
  4. Step 4: Simplify right side
    515,420x = 526,823,382,276
  5. Step 5: Solve for x
    x = 526,823,382,276/515,420
  6. Step 6: Final answer
    x = 1,022,124.45

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.