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Finding the Third Proportional to 198,076 and 432,276

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Solution

The third proportional to 198,076 and 432,276 is: 943,388.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,076 : 432,276 = 432,276 : x
  2. Step 2: Convert to fraction form
    198,076/432,276 = 432,276/x
  3. Step 3: Cross multiply
    198,076x = 432,276 × 432,276
  4. Step 4: Simplify right side
    198,076x = 186,862,540,176
  5. Step 5: Solve for x
    x = 186,862,540,176/198,076
  6. Step 6: Final answer
    x = 943,388.09

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.