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Finding the Third Proportional to 177,907 and 390,803

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Solution

The third proportional to 177,907 and 390,803 is: 858,465.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,907 : 390,803 = 390,803 : x
  2. Step 2: Convert to fraction form
    177,907/390,803 = 390,803/x
  3. Step 3: Cross multiply
    177,907x = 390,803 × 390,803
  4. Step 4: Simplify right side
    177,907x = 152,726,984,809
  5. Step 5: Solve for x
    x = 152,726,984,809/177,907
  6. Step 6: Final answer
    x = 858,465.29

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.