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Finding the Third Proportional to 264,811.78 and 340,011

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Solution

The third proportional to 264,811.78 and 340,011 is: 436,564.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,811.78 : 340,011 = 340,011 : x
  2. Step 2: Convert to fraction form
    264,811.78/340,011 = 340,011/x
  3. Step 3: Cross multiply
    264,811.78x = 340,011 × 340,011
  4. Step 4: Simplify right side
    264,811.78x = 115,607,480,121
  5. Step 5: Solve for x
    x = 115,607,480,121/264,811.78
  6. Step 6: Final answer
    x = 436,564.72

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.