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Finding the Third Proportional to 310,040 and 438,824

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Solution

The third proportional to 310,040 and 438,824 is: 621,102.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,040 : 438,824 = 438,824 : x
  2. Step 2: Convert to fraction form
    310,040/438,824 = 438,824/x
  3. Step 3: Cross multiply
    310,040x = 438,824 × 438,824
  4. Step 4: Simplify right side
    310,040x = 192,566,502,976
  5. Step 5: Solve for x
    x = 192,566,502,976/310,040
  6. Step 6: Final answer
    x = 621,102.13

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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.