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Finding the Third Proportional to 317,700 and 684,216

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Solution

The third proportional to 317,700 and 684,216 is: 1,473,564.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,700 : 684,216 = 684,216 : x
  2. Step 2: Convert to fraction form
    317,700/684,216 = 684,216/x
  3. Step 3: Cross multiply
    317,700x = 684,216 × 684,216
  4. Step 4: Simplify right side
    317,700x = 468,151,534,656
  5. Step 5: Solve for x
    x = 468,151,534,656/317,700
  6. Step 6: Final answer
    x = 1,473,564.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.