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Finding the Third Proportional to 623,678 and 1,320,971

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Solution

The third proportional to 623,678 and 1,320,971 is: 2,797,861.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,678 : 1,320,971 = 1,320,971 : x
  2. Step 2: Convert to fraction form
    623,678/1,320,971 = 1,320,971/x
  3. Step 3: Cross multiply
    623,678x = 1,320,971 × 1,320,971
  4. Step 4: Simplify right side
    623,678x = 1,744,964,382,841
  5. Step 5: Solve for x
    x = 1,744,964,382,841/623,678
  6. Step 6: Final answer
    x = 2,797,861.05

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.