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Finding the Third Proportional to 283,457 and 438,878

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Solution

The third proportional to 283,457 and 438,878 is: 679,517.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,457 : 438,878 = 438,878 : x
  2. Step 2: Convert to fraction form
    283,457/438,878 = 438,878/x
  3. Step 3: Cross multiply
    283,457x = 438,878 × 438,878
  4. Step 4: Simplify right side
    283,457x = 192,613,898,884
  5. Step 5: Solve for x
    x = 192,613,898,884/283,457
  6. Step 6: Final answer
    x = 679,517.17

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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.