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Finding the Third Proportional to 213,141.38 and 307,926.56

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Solution

The third proportional to 213,141.38 and 307,926.56 is: 444,863.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,141.38 : 307,926.56 = 307,926.56 : x
  2. Step 2: Convert to fraction form
    213,141.38/307,926.56 = 307,926.56/x
  3. Step 3: Cross multiply
    213,141.38x = 307,926.56 × 307,926.56
  4. Step 4: Simplify right side
    213,141.38x = 94,818,767,893.07
  5. Step 5: Solve for x
    x = 94,818,767,893.07/213,141.38
  6. Step 6: Final answer
    x = 444,863.26

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.