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Finding the Third Proportional to 102,464 and 217,088

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Solution

The third proportional to 102,464 and 217,088 is: 459,939.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,464 : 217,088 = 217,088 : x
  2. Step 2: Convert to fraction form
    102,464/217,088 = 217,088/x
  3. Step 3: Cross multiply
    102,464x = 217,088 × 217,088
  4. Step 4: Simplify right side
    102,464x = 47,127,199,744
  5. Step 5: Solve for x
    x = 47,127,199,744/102,464
  6. Step 6: Final answer
    x = 459,939.10

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.