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Finding the Third Proportional to 417,172 and 646,253

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Solution

The third proportional to 417,172 and 646,253 is: 1,001,128.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,172 : 646,253 = 646,253 : x
  2. Step 2: Convert to fraction form
    417,172/646,253 = 646,253/x
  3. Step 3: Cross multiply
    417,172x = 646,253 × 646,253
  4. Step 4: Simplify right side
    417,172x = 417,642,940,009
  5. Step 5: Solve for x
    x = 417,642,940,009/417,172
  6. Step 6: Final answer
    x = 1,001,128.89

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.