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Finding the Third Proportional to 287,829 and 610,734

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Solution

The third proportional to 287,829 and 610,734 is: 1,295,894.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,829 : 610,734 = 610,734 : x
  2. Step 2: Convert to fraction form
    287,829/610,734 = 610,734/x
  3. Step 3: Cross multiply
    287,829x = 610,734 × 610,734
  4. Step 4: Simplify right side
    287,829x = 372,996,018,756
  5. Step 5: Solve for x
    x = 372,996,018,756/287,829
  6. Step 6: Final answer
    x = 1,295,894.50

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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.