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Finding the Third Proportional to 305,921.81 and 438,265.69

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Solution

The third proportional to 305,921.81 and 438,265.69 is: 627,862.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,921.81 : 438,265.69 = 438,265.69 : x
  2. Step 2: Convert to fraction form
    305,921.81/438,265.69 = 438,265.69/x
  3. Step 3: Cross multiply
    305,921.81x = 438,265.69 × 438,265.69
  4. Step 4: Simplify right side
    305,921.81x = 192,076,812,839.85
  5. Step 5: Solve for x
    x = 192,076,812,839.85/305,921.81
  6. Step 6: Final answer
    x = 627,862.43

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.