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Finding the Third Proportional to 210,968.25 and 281,818.13

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Solution

The third proportional to 210,968.25 and 281,818.13 is: 376,461.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,968.25 : 281,818.13 = 281,818.13 : x
  2. Step 2: Convert to fraction form
    210,968.25/281,818.13 = 281,818.13/x
  3. Step 3: Cross multiply
    210,968.25x = 281,818.13 × 281,818.13
  4. Step 4: Simplify right side
    210,968.25x = 79,421,455,578.52
  5. Step 5: Solve for x
    x = 79,421,455,578.52/210,968.25
  6. Step 6: Final answer
    x = 376,461.65

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.