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Finding the Third Proportional to 310,020.75 and 438,799.78

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Solution

The third proportional to 310,020.75 and 438,799.78 is: 621,072.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,020.75 : 438,799.78 = 438,799.78 : x
  2. Step 2: Convert to fraction form
    310,020.75/438,799.78 = 438,799.78/x
  3. Step 3: Cross multiply
    310,020.75x = 438,799.78 × 438,799.78
  4. Step 4: Simplify right side
    310,020.75x = 192,545,248,025.05
  5. Step 5: Solve for x
    x = 192,545,248,025.05/310,020.75
  6. Step 6: Final answer
    x = 621,072.13

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.