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Finding the Third Proportional to 340,266.50 and 409,886

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Solution

The third proportional to 340,266.50 and 409,886 is: 493,749.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,266.50 : 409,886 = 409,886 : x
  2. Step 2: Convert to fraction form
    340,266.50/409,886 = 409,886/x
  3. Step 3: Cross multiply
    340,266.50x = 409,886 × 409,886
  4. Step 4: Simplify right side
    340,266.50x = 168,006,532,996
  5. Step 5: Solve for x
    x = 168,006,532,996/340,266.50
  6. Step 6: Final answer
    x = 493,749.85

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.