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Finding the Third Proportional to 378,272 and 586,512

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Solution

The third proportional to 378,272 and 586,512 is: 909,388.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,272 : 586,512 = 586,512 : x
  2. Step 2: Convert to fraction form
    378,272/586,512 = 586,512/x
  3. Step 3: Cross multiply
    378,272x = 586,512 × 586,512
  4. Step 4: Simplify right side
    378,272x = 343,996,326,144
  5. Step 5: Solve for x
    x = 343,996,326,144/378,272
  6. Step 6: Final answer
    x = 909,388.82

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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.