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Finding the Third Proportional to 317,545 and 684,950

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Solution

The third proportional to 317,545 and 684,950 is: 1,477,448.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,545 : 684,950 = 684,950 : x
  2. Step 2: Convert to fraction form
    317,545/684,950 = 684,950/x
  3. Step 3: Cross multiply
    317,545x = 684,950 × 684,950
  4. Step 4: Simplify right side
    317,545x = 469,156,502,500
  5. Step 5: Solve for x
    x = 469,156,502,500/317,545
  6. Step 6: Final answer
    x = 1,477,448.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.