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Finding the Third Proportional to 306,496 and 438,784

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Solution

The third proportional to 306,496 and 438,784 is: 628,169.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,496 : 438,784 = 438,784 : x
  2. Step 2: Convert to fraction form
    306,496/438,784 = 438,784/x
  3. Step 3: Cross multiply
    306,496x = 438,784 × 438,784
  4. Step 4: Simplify right side
    306,496x = 192,531,398,656
  5. Step 5: Solve for x
    x = 192,531,398,656/306,496
  6. Step 6: Final answer
    x = 628,169.37

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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.