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Finding the Third Proportional to 520,076 and 825,211

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Solution

The third proportional to 520,076 and 825,211 is: 1,309,372.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,076 : 825,211 = 825,211 : x
  2. Step 2: Convert to fraction form
    520,076/825,211 = 825,211/x
  3. Step 3: Cross multiply
    520,076x = 825,211 × 825,211
  4. Step 4: Simplify right side
    520,076x = 680,973,194,521
  5. Step 5: Solve for x
    x = 680,973,194,521/520,076
  6. Step 6: Final answer
    x = 1,309,372.47

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.