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Finding the Third Proportional to 319,311 and 490,951

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Solution

The third proportional to 319,311 and 490,951 is: 754,853.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,311 : 490,951 = 490,951 : x
  2. Step 2: Convert to fraction form
    319,311/490,951 = 490,951/x
  3. Step 3: Cross multiply
    319,311x = 490,951 × 490,951
  4. Step 4: Simplify right side
    319,311x = 241,032,884,401
  5. Step 5: Solve for x
    x = 241,032,884,401/319,311
  6. Step 6: Final answer
    x = 754,853.06

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.