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Finding the Third Proportional to 192,994 and 425,253.50

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Solution

The third proportional to 192,994 and 425,253.50 is: 937,026.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,994 : 425,253.50 = 425,253.50 : x
  2. Step 2: Convert to fraction form
    192,994/425,253.50 = 425,253.50/x
  3. Step 3: Cross multiply
    192,994x = 425,253.50 × 425,253.50
  4. Step 4: Simplify right side
    192,994x = 180,840,539,262.25
  5. Step 5: Solve for x
    x = 180,840,539,262.25/192,994
  6. Step 6: Final answer
    x = 937,026.74

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.