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Finding the Third Proportional to 508,575 and 768,021

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Solution

The third proportional to 508,575 and 768,021 is: 1,159,821.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,575 : 768,021 = 768,021 : x
  2. Step 2: Convert to fraction form
    508,575/768,021 = 768,021/x
  3. Step 3: Cross multiply
    508,575x = 768,021 × 768,021
  4. Step 4: Simplify right side
    508,575x = 589,856,256,441
  5. Step 5: Solve for x
    x = 589,856,256,441/508,575
  6. Step 6: Final answer
    x = 1,159,821.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.