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Finding the Third Proportional to 340,987 and 504,871

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Solution

The third proportional to 340,987 and 504,871 is: 747,520.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,987 : 504,871 = 504,871 : x
  2. Step 2: Convert to fraction form
    340,987/504,871 = 504,871/x
  3. Step 3: Cross multiply
    340,987x = 504,871 × 504,871
  4. Step 4: Simplify right side
    340,987x = 254,894,726,641
  5. Step 5: Solve for x
    x = 254,894,726,641/340,987
  6. Step 6: Final answer
    x = 747,520.36

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.