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Finding the Third Proportional to 373,698 and 578,907

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Solution

The third proportional to 373,698 and 578,907 is: 896,802.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,698 : 578,907 = 578,907 : x
  2. Step 2: Convert to fraction form
    373,698/578,907 = 578,907/x
  3. Step 3: Cross multiply
    373,698x = 578,907 × 578,907
  4. Step 4: Simplify right side
    373,698x = 335,133,314,649
  5. Step 5: Solve for x
    x = 335,133,314,649/373,698
  6. Step 6: Final answer
    x = 896,802.54

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.