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Finding the Third Proportional to 407,812 and 620,710

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Solution

The third proportional to 407,812 and 620,710 is: 944,751.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,812 : 620,710 = 620,710 : x
  2. Step 2: Convert to fraction form
    407,812/620,710 = 620,710/x
  3. Step 3: Cross multiply
    407,812x = 620,710 × 620,710
  4. Step 4: Simplify right side
    407,812x = 385,280,904,100
  5. Step 5: Solve for x
    x = 385,280,904,100/407,812
  6. Step 6: Final answer
    x = 944,751.27

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.