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Finding the Third Proportional to 217,271 and 318,130

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Solution

The third proportional to 217,271 and 318,130 is: 465,808.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,271 : 318,130 = 318,130 : x
  2. Step 2: Convert to fraction form
    217,271/318,130 = 318,130/x
  3. Step 3: Cross multiply
    217,271x = 318,130 × 318,130
  4. Step 4: Simplify right side
    217,271x = 101,206,696,900
  5. Step 5: Solve for x
    x = 101,206,696,900/217,271
  6. Step 6: Final answer
    x = 465,808.58

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.