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Finding the Third Proportional to 328,774 and 495,051

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Solution

The third proportional to 328,774 and 495,051 is: 745,422.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,774 : 495,051 = 495,051 : x
  2. Step 2: Convert to fraction form
    328,774/495,051 = 495,051/x
  3. Step 3: Cross multiply
    328,774x = 495,051 × 495,051
  4. Step 4: Simplify right side
    328,774x = 245,075,492,601
  5. Step 5: Solve for x
    x = 245,075,492,601/328,774
  6. Step 6: Final answer
    x = 745,422.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.