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Finding the Third Proportional to 422,461 and 655,334.50

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Solution

The third proportional to 422,461 and 655,334.50 is: 1,016,575.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,461 : 655,334.50 = 655,334.50 : x
  2. Step 2: Convert to fraction form
    422,461/655,334.50 = 655,334.50/x
  3. Step 3: Cross multiply
    422,461x = 655,334.50 × 655,334.50
  4. Step 4: Simplify right side
    422,461x = 429,463,306,890.25
  5. Step 5: Solve for x
    x = 429,463,306,890.25/422,461
  6. Step 6: Final answer
    x = 1,016,575.04

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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.