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Finding the Third Proportional to 437,434 and 685,309

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Solution

The third proportional to 437,434 and 685,309 is: 1,073,644.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,434 : 685,309 = 685,309 : x
  2. Step 2: Convert to fraction form
    437,434/685,309 = 685,309/x
  3. Step 3: Cross multiply
    437,434x = 685,309 × 685,309
  4. Step 4: Simplify right side
    437,434x = 469,648,425,481
  5. Step 5: Solve for x
    x = 469,648,425,481/437,434
  6. Step 6: Final answer
    x = 1,073,644.08

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.