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Finding the Third Proportional to 421,772.06 and 913,629.38

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Solution

The third proportional to 421,772.06 and 913,629.38 is: 1,979,075.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,772.06 : 913,629.38 = 913,629.38 : x
  2. Step 2: Convert to fraction form
    421,772.06/913,629.38 = 913,629.38/x
  3. Step 3: Cross multiply
    421,772.06x = 913,629.38 × 913,629.38
  4. Step 4: Simplify right side
    421,772.06x = 834,718,634,862.89
  5. Step 5: Solve for x
    x = 834,718,634,862.89/421,772.06
  6. Step 6: Final answer
    x = 1,979,075.21

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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.