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Finding the Third Proportional to 318,056 and 674,032

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Solution

The third proportional to 318,056 and 674,032 is: 1,428,424.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,056 : 674,032 = 674,032 : x
  2. Step 2: Convert to fraction form
    318,056/674,032 = 674,032/x
  3. Step 3: Cross multiply
    318,056x = 674,032 × 674,032
  4. Step 4: Simplify right side
    318,056x = 454,319,137,024
  5. Step 5: Solve for x
    x = 454,319,137,024/318,056
  6. Step 6: Final answer
    x = 1,428,424.98

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.