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Finding the Third Proportional to 283,425.75 and 434,899.13

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Solution

The third proportional to 283,425.75 and 434,899.13 is: 667,325.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,425.75 : 434,899.13 = 434,899.13 : x
  2. Step 2: Convert to fraction form
    283,425.75/434,899.13 = 434,899.13/x
  3. Step 3: Cross multiply
    283,425.75x = 434,899.13 × 434,899.13
  4. Step 4: Simplify right side
    283,425.75x = 189,137,248,925.77
  5. Step 5: Solve for x
    x = 189,137,248,925.77/283,425.75
  6. Step 6: Final answer
    x = 667,325.57

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.