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Finding the Third Proportional to 407,907 and 619,785

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Solution

The third proportional to 407,907 and 619,785 is: 941,718.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,907 : 619,785 = 619,785 : x
  2. Step 2: Convert to fraction form
    407,907/619,785 = 619,785/x
  3. Step 3: Cross multiply
    407,907x = 619,785 × 619,785
  4. Step 4: Simplify right side
    407,907x = 384,133,446,225
  5. Step 5: Solve for x
    x = 384,133,446,225/407,907
  6. Step 6: Final answer
    x = 941,718.20

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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.