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Finding the Third Proportional to 205,905.38 and 312,818.63

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Solution

The third proportional to 205,905.38 and 312,818.63 is: 475,244.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,905.38 : 312,818.63 = 312,818.63 : x
  2. Step 2: Convert to fraction form
    205,905.38/312,818.63 = 312,818.63/x
  3. Step 3: Cross multiply
    205,905.38x = 312,818.63 × 312,818.63
  4. Step 4: Simplify right side
    205,905.38x = 97,855,492,146.89
  5. Step 5: Solve for x
    x = 97,855,492,146.89/205,905.38
  6. Step 6: Final answer
    x = 475,244.96

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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.