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Finding the Third Proportional to 435,213 and 788,413.50

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Solution

The third proportional to 435,213 and 788,413.50 is: 1,428,256.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,213 : 788,413.50 = 788,413.50 : x
  2. Step 2: Convert to fraction form
    435,213/788,413.50 = 788,413.50/x
  3. Step 3: Cross multiply
    435,213x = 788,413.50 × 788,413.50
  4. Step 4: Simplify right side
    435,213x = 621,595,846,982.25
  5. Step 5: Solve for x
    x = 621,595,846,982.25/435,213
  6. Step 6: Final answer
    x = 1,428,256.62

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These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.