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Finding the Third Proportional to 455,106 and 997,691

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Solution

The third proportional to 455,106 and 997,691 is: 2,187,154.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,106 : 997,691 = 997,691 : x
  2. Step 2: Convert to fraction form
    455,106/997,691 = 997,691/x
  3. Step 3: Cross multiply
    455,106x = 997,691 × 997,691
  4. Step 4: Simplify right side
    455,106x = 995,387,331,481
  5. Step 5: Solve for x
    x = 995,387,331,481/455,106
  6. Step 6: Final answer
    x = 2,187,154.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.