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Finding the Third Proportional to 287,334 and 609,694

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Solution

The third proportional to 287,334 and 609,694 is: 1,293,709.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,334 : 609,694 = 609,694 : x
  2. Step 2: Convert to fraction form
    287,334/609,694 = 609,694/x
  3. Step 3: Cross multiply
    287,334x = 609,694 × 609,694
  4. Step 4: Simplify right side
    287,334x = 371,726,773,636
  5. Step 5: Solve for x
    x = 371,726,773,636/287,334
  6. Step 6: Final answer
    x = 1,293,709.67

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.