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Finding the Third Proportional to 427,930 and 598,243

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Solution

The third proportional to 427,930 and 598,243 is: 836,339.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,930 : 598,243 = 598,243 : x
  2. Step 2: Convert to fraction form
    427,930/598,243 = 598,243/x
  3. Step 3: Cross multiply
    427,930x = 598,243 × 598,243
  4. Step 4: Simplify right side
    427,930x = 357,894,687,049
  5. Step 5: Solve for x
    x = 357,894,687,049/427,930
  6. Step 6: Final answer
    x = 836,339.32

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.