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Finding the Third Proportional to 129,636 and 199,985

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Solution

The third proportional to 129,636 and 199,985 is: 308,509.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,636 : 199,985 = 199,985 : x
  2. Step 2: Convert to fraction form
    129,636/199,985 = 199,985/x
  3. Step 3: Cross multiply
    129,636x = 199,985 × 199,985
  4. Step 4: Simplify right side
    129,636x = 39,994,000,225
  5. Step 5: Solve for x
    x = 39,994,000,225/129,636
  6. Step 6: Final answer
    x = 308,509.98

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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.