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Finding the Third Proportional to 217,658 and 308,091

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Solution

The third proportional to 217,658 and 308,091 is: 436,097.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,658 : 308,091 = 308,091 : x
  2. Step 2: Convert to fraction form
    217,658/308,091 = 308,091/x
  3. Step 3: Cross multiply
    217,658x = 308,091 × 308,091
  4. Step 4: Simplify right side
    217,658x = 94,920,064,281
  5. Step 5: Solve for x
    x = 94,920,064,281/217,658
  6. Step 6: Final answer
    x = 436,097.29

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.