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Finding the Third Proportional to 713,556 and 978,489

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Solution

The third proportional to 713,556 and 978,489 is: 1,341,787.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,556 : 978,489 = 978,489 : x
  2. Step 2: Convert to fraction form
    713,556/978,489 = 978,489/x
  3. Step 3: Cross multiply
    713,556x = 978,489 × 978,489
  4. Step 4: Simplify right side
    713,556x = 957,440,723,121
  5. Step 5: Solve for x
    x = 957,440,723,121/713,556
  6. Step 6: Final answer
    x = 1,341,787.78

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.