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Finding the Third Proportional to 210,767.06 and 321,402.94

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Solution

The third proportional to 210,767.06 and 321,402.94 is: 490,113.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,767.06 : 321,402.94 = 321,402.94 : x
  2. Step 2: Convert to fraction form
    210,767.06/321,402.94 = 321,402.94/x
  3. Step 3: Cross multiply
    210,767.06x = 321,402.94 × 321,402.94
  4. Step 4: Simplify right side
    210,767.06x = 103,299,848,233.63
  5. Step 5: Solve for x
    x = 103,299,848,233.63/210,767.06
  6. Step 6: Final answer
    x = 490,113.81

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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.