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Finding the Third Proportional to 438,602 and 911,680

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Solution

The third proportional to 438,602 and 911,680 is: 1,895,021.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,602 : 911,680 = 911,680 : x
  2. Step 2: Convert to fraction form
    438,602/911,680 = 911,680/x
  3. Step 3: Cross multiply
    438,602x = 911,680 × 911,680
  4. Step 4: Simplify right side
    438,602x = 831,160,422,400
  5. Step 5: Solve for x
    x = 831,160,422,400/438,602
  6. Step 6: Final answer
    x = 1,895,021.96

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.