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Finding the Third Proportional to 507,040 and 779,425

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Solution

The third proportional to 507,040 and 779,425 is: 1,198,136.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,040 : 779,425 = 779,425 : x
  2. Step 2: Convert to fraction form
    507,040/779,425 = 779,425/x
  3. Step 3: Cross multiply
    507,040x = 779,425 × 779,425
  4. Step 4: Simplify right side
    507,040x = 607,503,330,625
  5. Step 5: Solve for x
    x = 607,503,330,625/507,040
  6. Step 6: Final answer
    x = 1,198,136.89

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.