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Finding the Third Proportional to 287,073 and 670,519

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Solution

The third proportional to 287,073 and 670,519 is: 1,566,137.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,073 : 670,519 = 670,519 : x
  2. Step 2: Convert to fraction form
    287,073/670,519 = 670,519/x
  3. Step 3: Cross multiply
    287,073x = 670,519 × 670,519
  4. Step 4: Simplify right side
    287,073x = 449,595,729,361
  5. Step 5: Solve for x
    x = 449,595,729,361/287,073
  6. Step 6: Final answer
    x = 1,566,137.29

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.