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Finding the Third Proportional to 421,648 and 913,280

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Solution

The third proportional to 421,648 and 913,280 is: 1,978,143.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,648 : 913,280 = 913,280 : x
  2. Step 2: Convert to fraction form
    421,648/913,280 = 913,280/x
  3. Step 3: Cross multiply
    421,648x = 913,280 × 913,280
  4. Step 4: Simplify right side
    421,648x = 834,080,358,400
  5. Step 5: Solve for x
    x = 834,080,358,400/421,648
  6. Step 6: Final answer
    x = 1,978,143.76

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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.