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Finding the Third Proportional to 618,678 and 1,310,580

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Solution

The third proportional to 618,678 and 1,310,580 is: 2,776,274.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,678 : 1,310,580 = 1,310,580 : x
  2. Step 2: Convert to fraction form
    618,678/1,310,580 = 1,310,580/x
  3. Step 3: Cross multiply
    618,678x = 1,310,580 × 1,310,580
  4. Step 4: Simplify right side
    618,678x = 1,717,619,936,400
  5. Step 5: Solve for x
    x = 1,717,619,936,400/618,678
  6. Step 6: Final answer
    x = 2,776,274.47

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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.