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Finding the Third Proportional to 286,846.31 and 421,966.13

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Solution

The third proportional to 286,846.31 and 421,966.13 is: 620,734.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,846.31 : 421,966.13 = 421,966.13 : x
  2. Step 2: Convert to fraction form
    286,846.31/421,966.13 = 421,966.13/x
  3. Step 3: Cross multiply
    286,846.31x = 421,966.13 × 421,966.13
  4. Step 4: Simplify right side
    286,846.31x = 178,055,410,647.52
  5. Step 5: Solve for x
    x = 178,055,410,647.52/286,846.31
  6. Step 6: Final answer
    x = 620,734.53

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.