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Finding the Third Proportional to 283,484 and 616,780

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Solution

The third proportional to 283,484 and 616,780 is: 1,341,936.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,484 : 616,780 = 616,780 : x
  2. Step 2: Convert to fraction form
    283,484/616,780 = 616,780/x
  3. Step 3: Cross multiply
    283,484x = 616,780 × 616,780
  4. Step 4: Simplify right side
    283,484x = 380,417,568,400
  5. Step 5: Solve for x
    x = 380,417,568,400/283,484
  6. Step 6: Final answer
    x = 1,341,936.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.