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Finding the Third Proportional to 188,778 and 285,585

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Solution

The third proportional to 188,778 and 285,585 is: 432,035.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,778 : 285,585 = 285,585 : x
  2. Step 2: Convert to fraction form
    188,778/285,585 = 285,585/x
  3. Step 3: Cross multiply
    188,778x = 285,585 × 285,585
  4. Step 4: Simplify right side
    188,778x = 81,558,792,225
  5. Step 5: Solve for x
    x = 81,558,792,225/188,778
  6. Step 6: Final answer
    x = 432,035.47

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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.