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Finding the Third Proportional to 422,439.75 and 653,715

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Solution

The third proportional to 422,439.75 and 653,715 is: 1,011,607.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,439.75 : 653,715 = 653,715 : x
  2. Step 2: Convert to fraction form
    422,439.75/653,715 = 653,715/x
  3. Step 3: Cross multiply
    422,439.75x = 653,715 × 653,715
  4. Step 4: Simplify right side
    422,439.75x = 427,343,301,225
  5. Step 5: Solve for x
    x = 427,343,301,225/422,439.75
  6. Step 6: Final answer
    x = 1,011,607.69

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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.