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Finding the Third Proportional to 328,770 and 495,045

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Solution

The third proportional to 328,770 and 495,045 is: 745,413.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,770 : 495,045 = 495,045 : x
  2. Step 2: Convert to fraction form
    328,770/495,045 = 495,045/x
  3. Step 3: Cross multiply
    328,770x = 495,045 × 495,045
  4. Step 4: Simplify right side
    328,770x = 245,069,552,025
  5. Step 5: Solve for x
    x = 245,069,552,025/328,770
  6. Step 6: Final answer
    x = 745,413.37

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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.