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Finding the Third Proportional to 371,916 and 790,344

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Solution

The third proportional to 371,916 and 790,344 is: 1,679,528.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,916 : 790,344 = 790,344 : x
  2. Step 2: Convert to fraction form
    371,916/790,344 = 790,344/x
  3. Step 3: Cross multiply
    371,916x = 790,344 × 790,344
  4. Step 4: Simplify right side
    371,916x = 624,643,638,336
  5. Step 5: Solve for x
    x = 624,643,638,336/371,916
  6. Step 6: Final answer
    x = 1,679,528.81

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.