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Finding the Third Proportional to 417,172 and 917,264

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Solution

The third proportional to 417,172 and 917,264 is: 2,016,849.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,172 : 917,264 = 917,264 : x
  2. Step 2: Convert to fraction form
    417,172/917,264 = 917,264/x
  3. Step 3: Cross multiply
    417,172x = 917,264 × 917,264
  4. Step 4: Simplify right side
    417,172x = 841,373,245,696
  5. Step 5: Solve for x
    x = 841,373,245,696/417,172
  6. Step 6: Final answer
    x = 2,016,849.75

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.