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Finding the Third Proportional to 430,836 and 661,302

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Solution

The third proportional to 430,836 and 661,302 is: 1,015,050.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,836 : 661,302 = 661,302 : x
  2. Step 2: Convert to fraction form
    430,836/661,302 = 661,302/x
  3. Step 3: Cross multiply
    430,836x = 661,302 × 661,302
  4. Step 4: Simplify right side
    430,836x = 437,320,335,204
  5. Step 5: Solve for x
    x = 437,320,335,204/430,836
  6. Step 6: Final answer
    x = 1,015,050.59

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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.