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Finding the Third Proportional to 420,302 and 912,049

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Solution

The third proportional to 420,302 and 912,049 is: 1,979,132.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,302 : 912,049 = 912,049 : x
  2. Step 2: Convert to fraction form
    420,302/912,049 = 912,049/x
  3. Step 3: Cross multiply
    420,302x = 912,049 × 912,049
  4. Step 4: Simplify right side
    420,302x = 831,833,378,401
  5. Step 5: Solve for x
    x = 831,833,378,401/420,302
  6. Step 6: Final answer
    x = 1,979,132.57

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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.