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Finding the Third Proportional to 520,429 and 804,278

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Solution

The third proportional to 520,429 and 804,278 is: 1,242,942.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,429 : 804,278 = 804,278 : x
  2. Step 2: Convert to fraction form
    520,429/804,278 = 804,278/x
  3. Step 3: Cross multiply
    520,429x = 804,278 × 804,278
  4. Step 4: Simplify right side
    520,429x = 646,863,101,284
  5. Step 5: Solve for x
    x = 646,863,101,284/520,429
  6. Step 6: Final answer
    x = 1,242,942.08

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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.