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Finding the Third Proportional to 417,078 and 910,611

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Solution

The third proportional to 417,078 and 910,611 is: 1,988,147.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,078 : 910,611 = 910,611 : x
  2. Step 2: Convert to fraction form
    417,078/910,611 = 910,611/x
  3. Step 3: Cross multiply
    417,078x = 910,611 × 910,611
  4. Step 4: Simplify right side
    417,078x = 829,212,393,321
  5. Step 5: Solve for x
    x = 829,212,393,321/417,078
  6. Step 6: Final answer
    x = 1,988,147.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.