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Finding the Third Proportional to 188,779 and 285,587

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Solution

The third proportional to 188,779 and 285,587 is: 432,039.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,779 : 285,587 = 285,587 : x
  2. Step 2: Convert to fraction form
    188,779/285,587 = 285,587/x
  3. Step 3: Cross multiply
    188,779x = 285,587 × 285,587
  4. Step 4: Simplify right side
    188,779x = 81,559,934,569
  5. Step 5: Solve for x
    x = 81,559,934,569/188,779
  6. Step 6: Final answer
    x = 432,039.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.