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Finding the Third Proportional to 437,672 and 685,692

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Solution

The third proportional to 437,672 and 685,692 is: 1,074,259.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,672 : 685,692 = 685,692 : x
  2. Step 2: Convert to fraction form
    437,672/685,692 = 685,692/x
  3. Step 3: Cross multiply
    437,672x = 685,692 × 685,692
  4. Step 4: Simplify right side
    437,672x = 470,173,518,864
  5. Step 5: Solve for x
    x = 470,173,518,864/437,672
  6. Step 6: Final answer
    x = 1,074,259.99

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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.