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Finding the Third Proportional to 253,205 and 391,938

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Solution

The third proportional to 253,205 and 391,938 is: 606,683.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,205 : 391,938 = 391,938 : x
  2. Step 2: Convert to fraction form
    253,205/391,938 = 391,938/x
  3. Step 3: Cross multiply
    253,205x = 391,938 × 391,938
  4. Step 4: Simplify right side
    253,205x = 153,615,395,844
  5. Step 5: Solve for x
    x = 153,615,395,844/253,205
  6. Step 6: Final answer
    x = 606,683.90

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.