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Finding the Third Proportional to 520,617 and 804,521

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Solution

The third proportional to 520,617 and 804,521 is: 1,243,244.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,617 : 804,521 = 804,521 : x
  2. Step 2: Convert to fraction form
    520,617/804,521 = 804,521/x
  3. Step 3: Cross multiply
    520,617x = 804,521 × 804,521
  4. Step 4: Simplify right side
    520,617x = 647,254,039,441
  5. Step 5: Solve for x
    x = 647,254,039,441/520,617
  6. Step 6: Final answer
    x = 1,243,244.15

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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.