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Finding the Third Proportional to 270,637 and 378,367

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Solution

The third proportional to 270,637 and 378,367 is: 528,980.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,637 : 378,367 = 378,367 : x
  2. Step 2: Convert to fraction form
    270,637/378,367 = 378,367/x
  3. Step 3: Cross multiply
    270,637x = 378,367 × 378,367
  4. Step 4: Simplify right side
    270,637x = 143,161,586,689
  5. Step 5: Solve for x
    x = 143,161,586,689/270,637
  6. Step 6: Final answer
    x = 528,980.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.