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Finding the Third Proportional to 452,252 and 983,110

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Solution

The third proportional to 452,252 and 983,110 is: 2,137,094.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,252 : 983,110 = 983,110 : x
  2. Step 2: Convert to fraction form
    452,252/983,110 = 983,110/x
  3. Step 3: Cross multiply
    452,252x = 983,110 × 983,110
  4. Step 4: Simplify right side
    452,252x = 966,505,272,100
  5. Step 5: Solve for x
    x = 966,505,272,100/452,252
  6. Step 6: Final answer
    x = 2,137,094.52

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.