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Finding the Third Proportional to 170,413.88 and 358,450.31

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Solution

The third proportional to 170,413.88 and 358,450.31 is: 753,968.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,413.88 : 358,450.31 = 358,450.31 : x
  2. Step 2: Convert to fraction form
    170,413.88/358,450.31 = 358,450.31/x
  3. Step 3: Cross multiply
    170,413.88x = 358,450.31 × 358,450.31
  4. Step 4: Simplify right side
    170,413.88x = 128,486,626,531.35
  5. Step 5: Solve for x
    x = 128,486,626,531.35/170,413.88
  6. Step 6: Final answer
    x = 753,968.11

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.