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Finding the Third Proportional to 410,360 and 621,006

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Solution

The third proportional to 410,360 and 621,006 is: 939,780.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,360 : 621,006 = 621,006 : x
  2. Step 2: Convert to fraction form
    410,360/621,006 = 621,006/x
  3. Step 3: Cross multiply
    410,360x = 621,006 × 621,006
  4. Step 4: Simplify right side
    410,360x = 385,648,452,036
  5. Step 5: Solve for x
    x = 385,648,452,036/410,360
  6. Step 6: Final answer
    x = 939,780.81

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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.