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Finding the Third Proportional to 437,402 and 685,263

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Solution

The third proportional to 437,402 and 685,263 is: 1,073,578.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,402 : 685,263 = 685,263 : x
  2. Step 2: Convert to fraction form
    437,402/685,263 = 685,263/x
  3. Step 3: Cross multiply
    437,402x = 685,263 × 685,263
  4. Step 4: Simplify right side
    437,402x = 469,585,379,169
  5. Step 5: Solve for x
    x = 469,585,379,169/437,402
  6. Step 6: Final answer
    x = 1,073,578.49

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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.