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Finding the Third Proportional to 374,969 and 580,678

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Solution

The third proportional to 374,969 and 580,678 is: 899,239.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,969 : 580,678 = 580,678 : x
  2. Step 2: Convert to fraction form
    374,969/580,678 = 580,678/x
  3. Step 3: Cross multiply
    374,969x = 580,678 × 580,678
  4. Step 4: Simplify right side
    374,969x = 337,186,939,684
  5. Step 5: Solve for x
    x = 337,186,939,684/374,969
  6. Step 6: Final answer
    x = 899,239.51

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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.