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Finding the Third Proportional to 378,540 and 554,562

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Solution

The third proportional to 378,540 and 554,562 is: 812,434.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,540 : 554,562 = 554,562 : x
  2. Step 2: Convert to fraction form
    378,540/554,562 = 554,562/x
  3. Step 3: Cross multiply
    378,540x = 554,562 × 554,562
  4. Step 4: Simplify right side
    378,540x = 307,539,011,844
  5. Step 5: Solve for x
    x = 307,539,011,844/378,540
  6. Step 6: Final answer
    x = 812,434.65

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.