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Finding the Third Proportional to 390,408 and 814,704

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Solution

The third proportional to 390,408 and 814,704 is: 1,700,125.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,408 : 814,704 = 814,704 : x
  2. Step 2: Convert to fraction form
    390,408/814,704 = 814,704/x
  3. Step 3: Cross multiply
    390,408x = 814,704 × 814,704
  4. Step 4: Simplify right side
    390,408x = 663,742,607,616
  5. Step 5: Solve for x
    x = 663,742,607,616/390,408
  6. Step 6: Final answer
    x = 1,700,125.53

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.