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Finding the Third Proportional to 283,790 and 424,904

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Solution

The third proportional to 283,790 and 424,904 is: 636,186.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,790 : 424,904 = 424,904 : x
  2. Step 2: Convert to fraction form
    283,790/424,904 = 424,904/x
  3. Step 3: Cross multiply
    283,790x = 424,904 × 424,904
  4. Step 4: Simplify right side
    283,790x = 180,543,409,216
  5. Step 5: Solve for x
    x = 180,543,409,216/283,790
  6. Step 6: Final answer
    x = 636,186.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.