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Finding the Third Proportional to 378,516 and 554,526

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Solution

The third proportional to 378,516 and 554,526 is: 812,380.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,516 : 554,526 = 554,526 : x
  2. Step 2: Convert to fraction form
    378,516/554,526 = 554,526/x
  3. Step 3: Cross multiply
    378,516x = 554,526 × 554,526
  4. Step 4: Simplify right side
    378,516x = 307,499,084,676
  5. Step 5: Solve for x
    x = 307,499,084,676/378,516
  6. Step 6: Final answer
    x = 812,380.68

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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.