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Finding the Third Proportional to 978,905 and 1,378,542

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Solution

The third proportional to 978,905 and 1,378,542 is: 1,941,330.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,905 : 1,378,542 = 1,378,542 : x
  2. Step 2: Convert to fraction form
    978,905/1,378,542 = 1,378,542/x
  3. Step 3: Cross multiply
    978,905x = 1,378,542 × 1,378,542
  4. Step 4: Simplify right side
    978,905x = 1,900,378,045,764
  5. Step 5: Solve for x
    x = 1,900,378,045,764/978,905
  6. Step 6: Final answer
    x = 1,941,330.41

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.