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Finding the Third Proportional to 386,644.50 and 830,427.75

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Solution

The third proportional to 386,644.50 and 830,427.75 is: 1,783,577.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,644.50 : 830,427.75 = 830,427.75 : x
  2. Step 2: Convert to fraction form
    386,644.50/830,427.75 = 830,427.75/x
  3. Step 3: Cross multiply
    386,644.50x = 830,427.75 × 830,427.75
  4. Step 4: Simplify right side
    386,644.50x = 689,610,247,970.06
  5. Step 5: Solve for x
    x = 689,610,247,970.06/386,644.50
  6. Step 6: Final answer
    x = 1,783,577.03

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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.