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Finding the Third Proportional to 212,064.33 and 438,890.91

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Solution

The third proportional to 212,064.33 and 438,890.91 is: 908,333.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,064.33 : 438,890.91 = 438,890.91 : x
  2. Step 2: Convert to fraction form
    212,064.33/438,890.91 = 438,890.91/x
  3. Step 3: Cross multiply
    212,064.33x = 438,890.91 × 438,890.91
  4. Step 4: Simplify right side
    212,064.33x = 192,625,227,588.95
  5. Step 5: Solve for x
    x = 192,625,227,588.95/212,064.33
  6. Step 6: Final answer
    x = 908,333.94

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.