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Finding the Third Proportional to 378,282 and 586,539

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Solution

The third proportional to 378,282 and 586,539 is: 909,448.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,282 : 586,539 = 586,539 : x
  2. Step 2: Convert to fraction form
    378,282/586,539 = 586,539/x
  3. Step 3: Cross multiply
    378,282x = 586,539 × 586,539
  4. Step 4: Simplify right side
    378,282x = 344,027,998,521
  5. Step 5: Solve for x
    x = 344,027,998,521/378,282
  6. Step 6: Final answer
    x = 909,448.50

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.