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Finding the Third Proportional to 215,172 and 455,940

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Solution

The third proportional to 215,172 and 455,940 is: 966,116.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,172 : 455,940 = 455,940 : x
  2. Step 2: Convert to fraction form
    215,172/455,940 = 455,940/x
  3. Step 3: Cross multiply
    215,172x = 455,940 × 455,940
  4. Step 4: Simplify right side
    215,172x = 207,881,283,600
  5. Step 5: Solve for x
    x = 207,881,283,600/215,172
  6. Step 6: Final answer
    x = 966,116.80

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.