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Finding the Third Proportional to 328,413.75 and 707,472.50

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Solution

The third proportional to 328,413.75 and 707,472.50 is: 1,524,045.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,413.75 : 707,472.50 = 707,472.50 : x
  2. Step 2: Convert to fraction form
    328,413.75/707,472.50 = 707,472.50/x
  3. Step 3: Cross multiply
    328,413.75x = 707,472.50 × 707,472.50
  4. Step 4: Simplify right side
    328,413.75x = 500,517,338,256.25
  5. Step 5: Solve for x
    x = 500,517,338,256.25/328,413.75
  6. Step 6: Final answer
    x = 1,524,045.01

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.