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Finding the Third Proportional to 204,140 and 306,413.50

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Solution

The third proportional to 204,140 and 306,413.50 is: 459,925.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,140 : 306,413.50 = 306,413.50 : x
  2. Step 2: Convert to fraction form
    204,140/306,413.50 = 306,413.50/x
  3. Step 3: Cross multiply
    204,140x = 306,413.50 × 306,413.50
  4. Step 4: Simplify right side
    204,140x = 93,889,232,982.25
  5. Step 5: Solve for x
    x = 93,889,232,982.25/204,140
  6. Step 6: Final answer
    x = 459,925.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.