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Finding the Third Proportional to 103,645 and 191,721

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Solution

The third proportional to 103,645 and 191,721 is: 354,642.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,645 : 191,721 = 191,721 : x
  2. Step 2: Convert to fraction form
    103,645/191,721 = 191,721/x
  3. Step 3: Cross multiply
    103,645x = 191,721 × 191,721
  4. Step 4: Simplify right side
    103,645x = 36,756,941,841
  5. Step 5: Solve for x
    x = 36,756,941,841/103,645
  6. Step 6: Final answer
    x = 354,642.69

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.