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Finding the Third Proportional to 188,916.75 and 287,885.25

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Solution

The third proportional to 188,916.75 and 287,885.25 is: 438,700.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,916.75 : 287,885.25 = 287,885.25 : x
  2. Step 2: Convert to fraction form
    188,916.75/287,885.25 = 287,885.25/x
  3. Step 3: Cross multiply
    188,916.75x = 287,885.25 × 287,885.25
  4. Step 4: Simplify right side
    188,916.75x = 82,877,917,167.56
  5. Step 5: Solve for x
    x = 82,877,917,167.56/188,916.75
  6. Step 6: Final answer
    x = 438,700.74

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.