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Finding the Third Proportional to 209,146 and 315,682

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Solution

The third proportional to 209,146 and 315,682 is: 476,485.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,146 : 315,682 = 315,682 : x
  2. Step 2: Convert to fraction form
    209,146/315,682 = 315,682/x
  3. Step 3: Cross multiply
    209,146x = 315,682 × 315,682
  4. Step 4: Simplify right side
    209,146x = 99,655,125,124
  5. Step 5: Solve for x
    x = 99,655,125,124/209,146
  6. Step 6: Final answer
    x = 476,485.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.