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Finding the Third Proportional to 390,524 and 804,370

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Solution

The third proportional to 390,524 and 804,370 is: 1,656,776.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,524 : 804,370 = 804,370 : x
  2. Step 2: Convert to fraction form
    390,524/804,370 = 804,370/x
  3. Step 3: Cross multiply
    390,524x = 804,370 × 804,370
  4. Step 4: Simplify right side
    390,524x = 647,011,096,900
  5. Step 5: Solve for x
    x = 647,011,096,900/390,524
  6. Step 6: Final answer
    x = 1,656,776.78

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.