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Finding the Third Proportional to 385,470 and 911,190

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Solution

The third proportional to 385,470 and 911,190 is: 2,153,908.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,470 : 911,190 = 911,190 : x
  2. Step 2: Convert to fraction form
    385,470/911,190 = 911,190/x
  3. Step 3: Cross multiply
    385,470x = 911,190 × 911,190
  4. Step 4: Simplify right side
    385,470x = 830,267,216,100
  5. Step 5: Solve for x
    x = 830,267,216,100/385,470
  6. Step 6: Final answer
    x = 2,153,908.78

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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.