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Finding the Third Proportional to 491,628 and 751,725

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Solution

The third proportional to 491,628 and 751,725 is: 1,149,426.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,628 : 751,725 = 751,725 : x
  2. Step 2: Convert to fraction form
    491,628/751,725 = 751,725/x
  3. Step 3: Cross multiply
    491,628x = 751,725 × 751,725
  4. Step 4: Simplify right side
    491,628x = 565,090,475,625
  5. Step 5: Solve for x
    x = 565,090,475,625/491,628
  6. Step 6: Final answer
    x = 1,149,426.96

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.