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Finding the Third Proportional to 216,515 and 318,211

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Solution

The third proportional to 216,515 and 318,211 is: 467,673.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,515 : 318,211 = 318,211 : x
  2. Step 2: Convert to fraction form
    216,515/318,211 = 318,211/x
  3. Step 3: Cross multiply
    216,515x = 318,211 × 318,211
  4. Step 4: Simplify right side
    216,515x = 101,258,240,521
  5. Step 5: Solve for x
    x = 101,258,240,521/216,515
  6. Step 6: Final answer
    x = 467,673.10

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.