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Finding the Third Proportional to 678,396 and 1,054,941

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Solution

The third proportional to 678,396 and 1,054,941 is: 1,640,488.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,396 : 1,054,941 = 1,054,941 : x
  2. Step 2: Convert to fraction form
    678,396/1,054,941 = 1,054,941/x
  3. Step 3: Cross multiply
    678,396x = 1,054,941 × 1,054,941
  4. Step 4: Simplify right side
    678,396x = 1,112,900,513,481
  5. Step 5: Solve for x
    x = 1,112,900,513,481/678,396
  6. Step 6: Final answer
    x = 1,640,488.02

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.