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Finding the Third Proportional to 212,715 and 329,330.25

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Solution

The third proportional to 212,715 and 329,330.25 is: 509,876.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,715 : 329,330.25 = 329,330.25 : x
  2. Step 2: Convert to fraction form
    212,715/329,330.25 = 329,330.25/x
  3. Step 3: Cross multiply
    212,715x = 329,330.25 × 329,330.25
  4. Step 4: Simplify right side
    212,715x = 108,458,413,565.06
  5. Step 5: Solve for x
    x = 108,458,413,565.06/212,715
  6. Step 6: Final answer
    x = 509,876.66

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.