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Finding the Third Proportional to 455,356 and 731,634

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Solution

The third proportional to 455,356 and 731,634 is: 1,175,538.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,356 : 731,634 = 731,634 : x
  2. Step 2: Convert to fraction form
    455,356/731,634 = 731,634/x
  3. Step 3: Cross multiply
    455,356x = 731,634 × 731,634
  4. Step 4: Simplify right side
    455,356x = 535,288,309,956
  5. Step 5: Solve for x
    x = 535,288,309,956/455,356
  6. Step 6: Final answer
    x = 1,175,538.06

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.