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Finding the Third Proportional to 836,694 and 1,280,169

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Solution

The third proportional to 836,694 and 1,280,169 is: 1,958,700.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    836,694 : 1,280,169 = 1,280,169 : x
  2. Step 2: Convert to fraction form
    836,694/1,280,169 = 1,280,169/x
  3. Step 3: Cross multiply
    836,694x = 1,280,169 × 1,280,169
  4. Step 4: Simplify right side
    836,694x = 1,638,832,668,561
  5. Step 5: Solve for x
    x = 1,638,832,668,561/836,694
  6. Step 6: Final answer
    x = 1,958,700.16

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.