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Finding the Third Proportional to 92,454 and 199,158

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Solution

The third proportional to 92,454 and 199,158 is: 429,012.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,454 : 199,158 = 199,158 : x
  2. Step 2: Convert to fraction form
    92,454/199,158 = 199,158/x
  3. Step 3: Cross multiply
    92,454x = 199,158 × 199,158
  4. Step 4: Simplify right side
    92,454x = 39,663,908,964
  5. Step 5: Solve for x
    x = 39,663,908,964/92,454
  6. Step 6: Final answer
    x = 429,012.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.