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Finding the Third Proportional to 100,311 and 152,437

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Solution

The third proportional to 100,311 and 152,437 is: 231,649.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,311 : 152,437 = 152,437 : x
  2. Step 2: Convert to fraction form
    100,311/152,437 = 152,437/x
  3. Step 3: Cross multiply
    100,311x = 152,437 × 152,437
  4. Step 4: Simplify right side
    100,311x = 23,237,038,969
  5. Step 5: Solve for x
    x = 23,237,038,969/100,311
  6. Step 6: Final answer
    x = 231,649.96

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.