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Finding the Third Proportional to 386,734.50 and 830,614.50

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Solution

The third proportional to 386,734.50 and 830,614.50 is: 1,783,964.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,734.50 : 830,614.50 = 830,614.50 : x
  2. Step 2: Convert to fraction form
    386,734.50/830,614.50 = 830,614.50/x
  3. Step 3: Cross multiply
    386,734.50x = 830,614.50 × 830,614.50
  4. Step 4: Simplify right side
    386,734.50x = 689,920,447,610.25
  5. Step 5: Solve for x
    x = 689,920,447,610.25/386,734.50
  6. Step 6: Final answer
    x = 1,783,964.06

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