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Finding the Third Proportional to 210,644.30 and 342,223.73

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Solution

The third proportional to 210,644.30 and 342,223.73 is: 555,994.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,644.30 : 342,223.73 = 342,223.73 : x
  2. Step 2: Convert to fraction form
    210,644.30/342,223.73 = 342,223.73/x
  3. Step 3: Cross multiply
    210,644.30x = 342,223.73 × 342,223.73
  4. Step 4: Simplify right side
    210,644.30x = 117,117,084,369.57
  5. Step 5: Solve for x
    x = 117,117,084,369.57/210,644.30
  6. Step 6: Final answer
    x = 555,994.57

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.