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Finding the Third Proportional to 461,175 and 991,239

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Solution

The third proportional to 461,175 and 991,239 is: 2,130,546.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,175 : 991,239 = 991,239 : x
  2. Step 2: Convert to fraction form
    461,175/991,239 = 991,239/x
  3. Step 3: Cross multiply
    461,175x = 991,239 × 991,239
  4. Step 4: Simplify right side
    461,175x = 982,554,755,121
  5. Step 5: Solve for x
    x = 982,554,755,121/461,175
  6. Step 6: Final answer
    x = 2,130,546.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.