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Finding the Third Proportional to 461,169 and 991,230

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Solution

The third proportional to 461,169 and 991,230 is: 2,130,535.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,169 : 991,230 = 991,230 : x
  2. Step 2: Convert to fraction form
    461,169/991,230 = 991,230/x
  3. Step 3: Cross multiply
    461,169x = 991,230 × 991,230
  4. Step 4: Simplify right side
    461,169x = 982,536,912,900
  5. Step 5: Solve for x
    x = 982,536,912,900/461,169
  6. Step 6: Final answer
    x = 2,130,535.47

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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.