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Finding the Third Proportional to 490,768 and 1,052,468

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Solution

The third proportional to 490,768 and 1,052,468 is: 2,257,051.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,768 : 1,052,468 = 1,052,468 : x
  2. Step 2: Convert to fraction form
    490,768/1,052,468 = 1,052,468/x
  3. Step 3: Cross multiply
    490,768x = 1,052,468 × 1,052,468
  4. Step 4: Simplify right side
    490,768x = 1,107,688,891,024
  5. Step 5: Solve for x
    x = 1,107,688,891,024/490,768
  6. Step 6: Final answer
    x = 2,257,051.99

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.