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Finding the Third Proportional to 415,923.75 and 621,113.63

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Solution

The third proportional to 415,923.75 and 621,113.63 is: 927,530.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,923.75 : 621,113.63 = 621,113.63 : x
  2. Step 2: Convert to fraction form
    415,923.75/621,113.63 = 621,113.63/x
  3. Step 3: Cross multiply
    415,923.75x = 621,113.63 × 621,113.63
  4. Step 4: Simplify right side
    415,923.75x = 385,782,135,160.64
  5. Step 5: Solve for x
    x = 385,782,135,160.64/415,923.75
  6. Step 6: Final answer
    x = 927,530.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.