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Finding the Third Proportional to 579,478 and 1,270,980

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Solution

The third proportional to 579,478 and 1,270,980 is: 2,787,664.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,478 : 1,270,980 = 1,270,980 : x
  2. Step 2: Convert to fraction form
    579,478/1,270,980 = 1,270,980/x
  3. Step 3: Cross multiply
    579,478x = 1,270,980 × 1,270,980
  4. Step 4: Simplify right side
    579,478x = 1,615,390,160,400
  5. Step 5: Solve for x
    x = 1,615,390,160,400/579,478
  6. Step 6: Final answer
    x = 2,787,664.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.