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Finding the Third Proportional to 378,549 and 581,854

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Solution

The third proportional to 378,549 and 581,854 is: 894,346.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,549 : 581,854 = 581,854 : x
  2. Step 2: Convert to fraction form
    378,549/581,854 = 581,854/x
  3. Step 3: Cross multiply
    378,549x = 581,854 × 581,854
  4. Step 4: Simplify right side
    378,549x = 338,554,077,316
  5. Step 5: Solve for x
    x = 338,554,077,316/378,549
  6. Step 6: Final answer
    x = 894,346.77

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.