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Finding the Third Proportional to 422,428.50 and 653,697

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Solution

The third proportional to 422,428.50 and 653,697 is: 1,011,578.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,428.50 : 653,697 = 653,697 : x
  2. Step 2: Convert to fraction form
    422,428.50/653,697 = 653,697/x
  3. Step 3: Cross multiply
    422,428.50x = 653,697 × 653,697
  4. Step 4: Simplify right side
    422,428.50x = 427,319,767,809
  5. Step 5: Solve for x
    x = 427,319,767,809/422,428.50
  6. Step 6: Final answer
    x = 1,011,578.92

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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.