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Finding the Third Proportional to 189,253.13 and 399,830.63

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Solution

The third proportional to 189,253.13 and 399,830.63 is: 844,712.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,253.13 : 399,830.63 = 399,830.63 : x
  2. Step 2: Convert to fraction form
    189,253.13/399,830.63 = 399,830.63/x
  3. Step 3: Cross multiply
    189,253.13x = 399,830.63 × 399,830.63
  4. Step 4: Simplify right side
    189,253.13x = 159,864,528,687.89
  5. Step 5: Solve for x
    x = 159,864,528,687.89/189,253.13
  6. Step 6: Final answer
    x = 844,712.76

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.