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Finding the Third Proportional to 317,840 and 661,808

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Solution

The third proportional to 317,840 and 661,808 is: 1,378,019.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,840 : 661,808 = 661,808 : x
  2. Step 2: Convert to fraction form
    317,840/661,808 = 661,808/x
  3. Step 3: Cross multiply
    317,840x = 661,808 × 661,808
  4. Step 4: Simplify right side
    317,840x = 437,989,828,864
  5. Step 5: Solve for x
    x = 437,989,828,864/317,840
  6. Step 6: Final answer
    x = 1,378,019.85

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.