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Finding the Third Proportional to 310,790 and 438,678

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Solution

The third proportional to 310,790 and 438,678 is: 619,191.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,790 : 438,678 = 438,678 : x
  2. Step 2: Convert to fraction form
    310,790/438,678 = 438,678/x
  3. Step 3: Cross multiply
    310,790x = 438,678 × 438,678
  4. Step 4: Simplify right side
    310,790x = 192,438,387,684
  5. Step 5: Solve for x
    x = 192,438,387,684/310,790
  6. Step 6: Final answer
    x = 619,191.05

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.