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Finding the Third Proportional to 320,624 and 686,046

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Solution

The third proportional to 320,624 and 686,046 is: 1,467,947.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,624 : 686,046 = 686,046 : x
  2. Step 2: Convert to fraction form
    320,624/686,046 = 686,046/x
  3. Step 3: Cross multiply
    320,624x = 686,046 × 686,046
  4. Step 4: Simplify right side
    320,624x = 470,659,114,116
  5. Step 5: Solve for x
    x = 470,659,114,116/320,624
  6. Step 6: Final answer
    x = 1,467,947.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.