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Finding the Third Proportional to 645,548 and 1,378,948

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Solution

The third proportional to 645,548 and 1,378,948 is: 2,945,555.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,548 : 1,378,948 = 1,378,948 : x
  2. Step 2: Convert to fraction form
    645,548/1,378,948 = 1,378,948/x
  3. Step 3: Cross multiply
    645,548x = 1,378,948 × 1,378,948
  4. Step 4: Simplify right side
    645,548x = 1,901,497,586,704
  5. Step 5: Solve for x
    x = 1,901,497,586,704/645,548
  6. Step 6: Final answer
    x = 2,945,555.69

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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.