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Finding the Third Proportional to 427,968 and 572,544

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Solution

The third proportional to 427,968 and 572,544 is: 765,960.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,968 : 572,544 = 572,544 : x
  2. Step 2: Convert to fraction form
    427,968/572,544 = 572,544/x
  3. Step 3: Cross multiply
    427,968x = 572,544 × 572,544
  4. Step 4: Simplify right side
    427,968x = 327,806,631,936
  5. Step 5: Solve for x
    x = 327,806,631,936/427,968
  6. Step 6: Final answer
    x = 765,960.61

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.