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Finding the Third Proportional to 437,502 and 685,412

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Solution

The third proportional to 437,502 and 685,412 is: 1,073,799.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,502 : 685,412 = 685,412 : x
  2. Step 2: Convert to fraction form
    437,502/685,412 = 685,412/x
  3. Step 3: Cross multiply
    437,502x = 685,412 × 685,412
  4. Step 4: Simplify right side
    437,502x = 469,789,609,744
  5. Step 5: Solve for x
    x = 469,789,609,744/437,502
  6. Step 6: Final answer
    x = 1,073,799.91

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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.