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Finding the Third Proportional to 433,877.50 and 942,384

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Solution

The third proportional to 433,877.50 and 942,384 is: 2,046,862.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,877.50 : 942,384 = 942,384 : x
  2. Step 2: Convert to fraction form
    433,877.50/942,384 = 942,384/x
  3. Step 3: Cross multiply
    433,877.50x = 942,384 × 942,384
  4. Step 4: Simplify right side
    433,877.50x = 888,087,603,456
  5. Step 5: Solve for x
    x = 888,087,603,456/433,877.50
  6. Step 6: Final answer
    x = 2,046,862.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.