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Finding the Third Proportional to 398,320 and 631,024

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Solution

The third proportional to 398,320 and 631,024 is: 999,676.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,320 : 631,024 = 631,024 : x
  2. Step 2: Convert to fraction form
    398,320/631,024 = 631,024/x
  3. Step 3: Cross multiply
    398,320x = 631,024 × 631,024
  4. Step 4: Simplify right side
    398,320x = 398,191,288,576
  5. Step 5: Solve for x
    x = 398,191,288,576/398,320
  6. Step 6: Final answer
    x = 999,676.86

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.