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Finding the Third Proportional to 393,040 and 623,364

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Solution

The third proportional to 393,040 and 623,364 is: 988,659.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,040 : 623,364 = 623,364 : x
  2. Step 2: Convert to fraction form
    393,040/623,364 = 623,364/x
  3. Step 3: Cross multiply
    393,040x = 623,364 × 623,364
  4. Step 4: Simplify right side
    393,040x = 388,582,676,496
  5. Step 5: Solve for x
    x = 388,582,676,496/393,040
  6. Step 6: Final answer
    x = 988,659.36

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.