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Finding the Third Proportional to 277,239 and 417,829.50

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Solution

The third proportional to 277,239 and 417,829.50 is: 629,714.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,239 : 417,829.50 = 417,829.50 : x
  2. Step 2: Convert to fraction form
    277,239/417,829.50 = 417,829.50/x
  3. Step 3: Cross multiply
    277,239x = 417,829.50 × 417,829.50
  4. Step 4: Simplify right side
    277,239x = 174,581,491,070.25
  5. Step 5: Solve for x
    x = 174,581,491,070.25/277,239
  6. Step 6: Final answer
    x = 629,714.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.