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Finding the Third Proportional to 455,346 and 731,619

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Solution

The third proportional to 455,346 and 731,619 is: 1,175,515.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,346 : 731,619 = 731,619 : x
  2. Step 2: Convert to fraction form
    455,346/731,619 = 731,619/x
  3. Step 3: Cross multiply
    455,346x = 731,619 × 731,619
  4. Step 4: Simplify right side
    455,346x = 535,266,361,161
  5. Step 5: Solve for x
    x = 535,266,361,161/455,346
  6. Step 6: Final answer
    x = 1,175,515.68

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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.