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Finding the Third Proportional to 283,382 and 438,706

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Solution

The third proportional to 283,382 and 438,706 is: 679,164.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,382 : 438,706 = 438,706 : x
  2. Step 2: Convert to fraction form
    283,382/438,706 = 438,706/x
  3. Step 3: Cross multiply
    283,382x = 438,706 × 438,706
  4. Step 4: Simplify right side
    283,382x = 192,462,954,436
  5. Step 5: Solve for x
    x = 192,462,954,436/283,382
  6. Step 6: Final answer
    x = 679,164.36

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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.