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Finding the Third Proportional to 286,846.31 and 421,918.88

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Solution

The third proportional to 286,846.31 and 421,918.88 is: 620,595.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,846.31 : 421,918.88 = 421,918.88 : x
  2. Step 2: Convert to fraction form
    286,846.31/421,918.88 = 421,918.88/x
  3. Step 3: Cross multiply
    286,846.31x = 421,918.88 × 421,918.88
  4. Step 4: Simplify right side
    286,846.31x = 178,015,537,081.27
  5. Step 5: Solve for x
    x = 178,015,537,081.27/286,846.31
  6. Step 6: Final answer
    x = 620,595.52

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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.