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Finding the Third Proportional to 271,582 and 399,056

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Solution

The third proportional to 271,582 and 399,056 is: 586,363.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,582 : 399,056 = 399,056 : x
  2. Step 2: Convert to fraction form
    271,582/399,056 = 399,056/x
  3. Step 3: Cross multiply
    271,582x = 399,056 × 399,056
  4. Step 4: Simplify right side
    271,582x = 159,245,691,136
  5. Step 5: Solve for x
    x = 159,245,691,136/271,582
  6. Step 6: Final answer
    x = 586,363.20

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.