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Finding the Third Proportional to 520,427 and 804,275

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Solution

The third proportional to 520,427 and 804,275 is: 1,242,937.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,427 : 804,275 = 804,275 : x
  2. Step 2: Convert to fraction form
    520,427/804,275 = 804,275/x
  3. Step 3: Cross multiply
    520,427x = 804,275 × 804,275
  4. Step 4: Simplify right side
    520,427x = 646,858,275,625
  5. Step 5: Solve for x
    x = 646,858,275,625/520,427
  6. Step 6: Final answer
    x = 1,242,937.58

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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.