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Finding the Third Proportional to 393,038 and 859,623

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Solution

The third proportional to 393,038 and 859,623 is: 1,880,102.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,038 : 859,623 = 859,623 : x
  2. Step 2: Convert to fraction form
    393,038/859,623 = 859,623/x
  3. Step 3: Cross multiply
    393,038x = 859,623 × 859,623
  4. Step 4: Simplify right side
    393,038x = 738,951,702,129
  5. Step 5: Solve for x
    x = 738,951,702,129/393,038
  6. Step 6: Final answer
    x = 1,880,102.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.