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Finding the Third Proportional to 210,856.50 and 339,568.88

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Solution

The third proportional to 210,856.50 and 339,568.88 is: 546,850.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,856.50 : 339,568.88 = 339,568.88 : x
  2. Step 2: Convert to fraction form
    210,856.50/339,568.88 = 339,568.88/x
  3. Step 3: Cross multiply
    210,856.50x = 339,568.88 × 339,568.88
  4. Step 4: Simplify right side
    210,856.50x = 115,307,020,868.77
  5. Step 5: Solve for x
    x = 115,307,020,868.77/210,856.50
  6. Step 6: Final answer
    x = 546,850.68

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.