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Finding the Third Proportional to 216,288 and 465,855

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Solution

The third proportional to 216,288 and 465,855 is: 1,003,388.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,288 : 465,855 = 465,855 : x
  2. Step 2: Convert to fraction form
    216,288/465,855 = 465,855/x
  3. Step 3: Cross multiply
    216,288x = 465,855 × 465,855
  4. Step 4: Simplify right side
    216,288x = 217,020,881,025
  5. Step 5: Solve for x
    x = 217,020,881,025/216,288
  6. Step 6: Final answer
    x = 1,003,388.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.