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Finding the Third Proportional to 283,494 and 456,780

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Solution

The third proportional to 283,494 and 456,780 is: 735,987.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,494 : 456,780 = 456,780 : x
  2. Step 2: Convert to fraction form
    283,494/456,780 = 456,780/x
  3. Step 3: Cross multiply
    283,494x = 456,780 × 456,780
  4. Step 4: Simplify right side
    283,494x = 208,647,968,400
  5. Step 5: Solve for x
    x = 208,647,968,400/283,494
  6. Step 6: Final answer
    x = 735,987.25

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.