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Finding the Third Proportional to 310,797 and 491,184

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Solution

The third proportional to 310,797 and 491,184 is: 776,267.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,797 : 491,184 = 491,184 : x
  2. Step 2: Convert to fraction form
    310,797/491,184 = 491,184/x
  3. Step 3: Cross multiply
    310,797x = 491,184 × 491,184
  4. Step 4: Simplify right side
    310,797x = 241,261,721,856
  5. Step 5: Solve for x
    x = 241,261,721,856/310,797
  6. Step 6: Final answer
    x = 776,267.86

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.