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Finding the Third Proportional to 438,411 and 911,271

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Solution

The third proportional to 438,411 and 911,271 is: 1,894,146.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,411 : 911,271 = 911,271 : x
  2. Step 2: Convert to fraction form
    438,411/911,271 = 911,271/x
  3. Step 3: Cross multiply
    438,411x = 911,271 × 911,271
  4. Step 4: Simplify right side
    438,411x = 830,414,835,441
  5. Step 5: Solve for x
    x = 830,414,835,441/438,411
  6. Step 6: Final answer
    x = 1,894,146.90

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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.