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Finding the Third Proportional to 501,556 and 768,078

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Solution

The third proportional to 501,556 and 768,078 is: 1,176,227.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,556 : 768,078 = 768,078 : x
  2. Step 2: Convert to fraction form
    501,556/768,078 = 768,078/x
  3. Step 3: Cross multiply
    501,556x = 768,078 × 768,078
  4. Step 4: Simplify right side
    501,556x = 589,943,814,084
  5. Step 5: Solve for x
    x = 589,943,814,084/501,556
  6. Step 6: Final answer
    x = 1,176,227.21

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.