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Finding the Third Proportional to 316,087 and 684,661

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Solution

The third proportional to 316,087 and 684,661 is: 1,483,011.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,087 : 684,661 = 684,661 : x
  2. Step 2: Convert to fraction form
    316,087/684,661 = 684,661/x
  3. Step 3: Cross multiply
    316,087x = 684,661 × 684,661
  4. Step 4: Simplify right side
    316,087x = 468,760,684,921
  5. Step 5: Solve for x
    x = 468,760,684,921/316,087
  6. Step 6: Final answer
    x = 1,483,011.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.