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Finding the Third Proportional to 642,960 and 1,382,694

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Solution

The third proportional to 642,960 and 1,382,694 is: 2,973,501.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,960 : 1,382,694 = 1,382,694 : x
  2. Step 2: Convert to fraction form
    642,960/1,382,694 = 1,382,694/x
  3. Step 3: Cross multiply
    642,960x = 1,382,694 × 1,382,694
  4. Step 4: Simplify right side
    642,960x = 1,911,842,697,636
  5. Step 5: Solve for x
    x = 1,911,842,697,636/642,960
  6. Step 6: Final answer
    x = 2,973,501.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.