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Finding the Third Proportional to 415,533 and 620,565

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Solution

The third proportional to 415,533 and 620,565 is: 926,763.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,533 : 620,565 = 620,565 : x
  2. Step 2: Convert to fraction form
    415,533/620,565 = 620,565/x
  3. Step 3: Cross multiply
    415,533x = 620,565 × 620,565
  4. Step 4: Simplify right side
    415,533x = 385,100,919,225
  5. Step 5: Solve for x
    x = 385,100,919,225/415,533
  6. Step 6: Final answer
    x = 926,763.74

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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.