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Finding the Third Proportional to 410,218 and 620,987

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Solution

The third proportional to 410,218 and 620,987 is: 940,048.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,218 : 620,987 = 620,987 : x
  2. Step 2: Convert to fraction form
    410,218/620,987 = 620,987/x
  3. Step 3: Cross multiply
    410,218x = 620,987 × 620,987
  4. Step 4: Simplify right side
    410,218x = 385,624,854,169
  5. Step 5: Solve for x
    x = 385,624,854,169/410,218
  6. Step 6: Final answer
    x = 940,048.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.