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Finding the Third Proportional to 216,317 and 469,138

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Solution

The third proportional to 216,317 and 469,138 is: 1,017,444.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,317 : 469,138 = 469,138 : x
  2. Step 2: Convert to fraction form
    216,317/469,138 = 469,138/x
  3. Step 3: Cross multiply
    216,317x = 469,138 × 469,138
  4. Step 4: Simplify right side
    216,317x = 220,090,463,044
  5. Step 5: Solve for x
    x = 220,090,463,044/216,317
  6. Step 6: Final answer
    x = 1,017,444.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.