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Finding the Third Proportional to 978,717 and 1,497,321

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Solution

The third proportional to 978,717 and 1,497,321 is: 2,290,723.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,717 : 1,497,321 = 1,497,321 : x
  2. Step 2: Convert to fraction form
    978,717/1,497,321 = 1,497,321/x
  3. Step 3: Cross multiply
    978,717x = 1,497,321 × 1,497,321
  4. Step 4: Simplify right side
    978,717x = 2,241,970,177,041
  5. Step 5: Solve for x
    x = 2,241,970,177,041/978,717
  6. Step 6: Final answer
    x = 2,290,723.65

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.