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Finding the Third Proportional to 385,472 and 911,195

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Solution

The third proportional to 385,472 and 911,195 is: 2,153,921.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,472 : 911,195 = 911,195 : x
  2. Step 2: Convert to fraction form
    385,472/911,195 = 911,195/x
  3. Step 3: Cross multiply
    385,472x = 911,195 × 911,195
  4. Step 4: Simplify right side
    385,472x = 830,276,328,025
  5. Step 5: Solve for x
    x = 830,276,328,025/385,472
  6. Step 6: Final answer
    x = 2,153,921.24

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.