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Finding the Third Proportional to 438,421 and 911,291

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Solution

The third proportional to 438,421 and 911,291 is: 1,894,186.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,421 : 911,291 = 911,291 : x
  2. Step 2: Convert to fraction form
    438,421/911,291 = 911,291/x
  3. Step 3: Cross multiply
    438,421x = 911,291 × 911,291
  4. Step 4: Simplify right side
    438,421x = 830,451,286,681
  5. Step 5: Solve for x
    x = 830,451,286,681/438,421
  6. Step 6: Final answer
    x = 1,894,186.84

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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.