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Finding the Third Proportional to 520,824 and 811,686

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Solution

The third proportional to 520,824 and 811,686 is: 1,264,984.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,824 : 811,686 = 811,686 : x
  2. Step 2: Convert to fraction form
    520,824/811,686 = 811,686/x
  3. Step 3: Cross multiply
    520,824x = 811,686 × 811,686
  4. Step 4: Simplify right side
    520,824x = 658,834,162,596
  5. Step 5: Solve for x
    x = 658,834,162,596/520,824
  6. Step 6: Final answer
    x = 1,264,984.26

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.