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Finding the Third Proportional to 491,770 and 742,173

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Solution

The third proportional to 491,770 and 742,173 is: 1,120,078.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,770 : 742,173 = 742,173 : x
  2. Step 2: Convert to fraction form
    491,770/742,173 = 742,173/x
  3. Step 3: Cross multiply
    491,770x = 742,173 × 742,173
  4. Step 4: Simplify right side
    491,770x = 550,820,761,929
  5. Step 5: Solve for x
    x = 550,820,761,929/491,770
  6. Step 6: Final answer
    x = 1,120,078.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.