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Finding the Third Proportional to 430,834 and 661,299

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Solution

The third proportional to 430,834 and 661,299 is: 1,015,046.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,834 : 661,299 = 661,299 : x
  2. Step 2: Convert to fraction form
    430,834/661,299 = 661,299/x
  3. Step 3: Cross multiply
    430,834x = 661,299 × 661,299
  4. Step 4: Simplify right side
    430,834x = 437,316,367,401
  5. Step 5: Solve for x
    x = 437,316,367,401/430,834
  6. Step 6: Final answer
    x = 1,015,046.09

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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.