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Finding the Third Proportional to 310,030 and 438,812

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Solution

The third proportional to 310,030 and 438,812 is: 621,088.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,030 : 438,812 = 438,812 : x
  2. Step 2: Convert to fraction form
    310,030/438,812 = 438,812/x
  3. Step 3: Cross multiply
    310,030x = 438,812 × 438,812
  4. Step 4: Simplify right side
    310,030x = 192,555,971,344
  5. Step 5: Solve for x
    x = 192,555,971,344/310,030
  6. Step 6: Final answer
    x = 621,088.19

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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.