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Finding the Third Proportional to 299,436.75 and 430,419.45

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Solution

The third proportional to 299,436.75 and 430,419.45 is: 618,697.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,436.75 : 430,419.45 = 430,419.45 : x
  2. Step 2: Convert to fraction form
    299,436.75/430,419.45 = 430,419.45/x
  3. Step 3: Cross multiply
    299,436.75x = 430,419.45 × 430,419.45
  4. Step 4: Simplify right side
    299,436.75x = 185,260,898,903.12
  5. Step 5: Solve for x
    x = 185,260,898,903.12/299,436.75
  6. Step 6: Final answer
    x = 618,697.94

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.