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Finding the Third Proportional to 687,879 and 1,424,358

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Solution

The third proportional to 687,879 and 1,424,358 is: 2,949,349.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,879 : 1,424,358 = 1,424,358 : x
  2. Step 2: Convert to fraction form
    687,879/1,424,358 = 1,424,358/x
  3. Step 3: Cross multiply
    687,879x = 1,424,358 × 1,424,358
  4. Step 4: Simplify right side
    687,879x = 2,028,795,712,164
  5. Step 5: Solve for x
    x = 2,028,795,712,164/687,879
  6. Step 6: Final answer
    x = 2,949,349.69

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.