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Finding the Third Proportional to 571,489 and 783,668

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Solution

The third proportional to 571,489 and 783,668 is: 1,074,623.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,489 : 783,668 = 783,668 : x
  2. Step 2: Convert to fraction form
    571,489/783,668 = 783,668/x
  3. Step 3: Cross multiply
    571,489x = 783,668 × 783,668
  4. Step 4: Simplify right side
    571,489x = 614,135,534,224
  5. Step 5: Solve for x
    x = 614,135,534,224/571,489
  6. Step 6: Final answer
    x = 1,074,623.54

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.