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Finding the Third Proportional to 491,760 and 742,158

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Solution

The third proportional to 491,760 and 742,158 is: 1,120,055.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,760 : 742,158 = 742,158 : x
  2. Step 2: Convert to fraction form
    491,760/742,158 = 742,158/x
  3. Step 3: Cross multiply
    491,760x = 742,158 × 742,158
  4. Step 4: Simplify right side
    491,760x = 550,798,496,964
  5. Step 5: Solve for x
    x = 550,798,496,964/491,760
  6. Step 6: Final answer
    x = 1,120,055.51

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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.