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Finding the Third Proportional to 129,146 and 199,575

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Solution

The third proportional to 129,146 and 199,575 is: 308,412.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,146 : 199,575 = 199,575 : x
  2. Step 2: Convert to fraction form
    129,146/199,575 = 199,575/x
  3. Step 3: Cross multiply
    129,146x = 199,575 × 199,575
  4. Step 4: Simplify right side
    129,146x = 39,830,180,625
  5. Step 5: Solve for x
    x = 39,830,180,625/129,146
  6. Step 6: Final answer
    x = 308,412.03

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.