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Finding the Third Proportional to 978,292 and 2,119,433

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Solution

The third proportional to 978,292 and 2,119,433 is: 4,591,672.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,292 : 2,119,433 = 2,119,433 : x
  2. Step 2: Convert to fraction form
    978,292/2,119,433 = 2,119,433/x
  3. Step 3: Cross multiply
    978,292x = 2,119,433 × 2,119,433
  4. Step 4: Simplify right side
    978,292x = 4,491,996,241,489
  5. Step 5: Solve for x
    x = 4,491,996,241,489/978,292
  6. Step 6: Final answer
    x = 4,591,672.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.