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Finding the Third Proportional to 393,018 and 842,068

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Solution

The third proportional to 393,018 and 842,068 is: 1,804,188.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,018 : 842,068 = 842,068 : x
  2. Step 2: Convert to fraction form
    393,018/842,068 = 842,068/x
  3. Step 3: Cross multiply
    393,018x = 842,068 × 842,068
  4. Step 4: Simplify right side
    393,018x = 709,078,516,624
  5. Step 5: Solve for x
    x = 709,078,516,624/393,018
  6. Step 6: Final answer
    x = 1,804,188.40

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.