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Finding the Third Proportional to 287,907 and 669,291

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Solution

The third proportional to 287,907 and 669,291 is: 1,555,885.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,907 : 669,291 = 669,291 : x
  2. Step 2: Convert to fraction form
    287,907/669,291 = 669,291/x
  3. Step 3: Cross multiply
    287,907x = 669,291 × 669,291
  4. Step 4: Simplify right side
    287,907x = 447,950,442,681
  5. Step 5: Solve for x
    x = 447,950,442,681/287,907
  6. Step 6: Final answer
    x = 1,555,885.90

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.