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Finding the Third Proportional to 271,428 and 399,032

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Solution

The third proportional to 271,428 and 399,032 is: 586,625.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,428 : 399,032 = 399,032 : x
  2. Step 2: Convert to fraction form
    271,428/399,032 = 399,032/x
  3. Step 3: Cross multiply
    271,428x = 399,032 × 399,032
  4. Step 4: Simplify right side
    271,428x = 159,226,537,024
  5. Step 5: Solve for x
    x = 159,226,537,024/271,428
  6. Step 6: Final answer
    x = 586,625.32

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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.