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Finding the Third Proportional to 183,721.50 and 283,905

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Solution

The third proportional to 183,721.50 and 283,905 is: 438,718.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,721.50 : 283,905 = 283,905 : x
  2. Step 2: Convert to fraction form
    183,721.50/283,905 = 283,905/x
  3. Step 3: Cross multiply
    183,721.50x = 283,905 × 283,905
  4. Step 4: Simplify right side
    183,721.50x = 80,602,049,025
  5. Step 5: Solve for x
    x = 80,602,049,025/183,721.50
  6. Step 6: Final answer
    x = 438,718.65

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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.