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Finding the Third Proportional to 447,726 and 620,550

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Solution

The third proportional to 447,726 and 620,550 is: 860,084.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,726 : 620,550 = 620,550 : x
  2. Step 2: Convert to fraction form
    447,726/620,550 = 620,550/x
  3. Step 3: Cross multiply
    447,726x = 620,550 × 620,550
  4. Step 4: Simplify right side
    447,726x = 385,082,302,500
  5. Step 5: Solve for x
    x = 385,082,302,500/447,726
  6. Step 6: Final answer
    x = 860,084.74

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.