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Finding the Third Proportional to 397,442 and 583,491

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Solution

The third proportional to 397,442 and 583,491 is: 856,632.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,442 : 583,491 = 583,491 : x
  2. Step 2: Convert to fraction form
    397,442/583,491 = 583,491/x
  3. Step 3: Cross multiply
    397,442x = 583,491 × 583,491
  4. Step 4: Simplify right side
    397,442x = 340,461,747,081
  5. Step 5: Solve for x
    x = 340,461,747,081/397,442
  6. Step 6: Final answer
    x = 856,632.53

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.