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Finding the Third Proportional to 460,018 and 990,019

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Solution

The third proportional to 460,018 and 990,019 is: 2,130,650.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,018 : 990,019 = 990,019 : x
  2. Step 2: Convert to fraction form
    460,018/990,019 = 990,019/x
  3. Step 3: Cross multiply
    460,018x = 990,019 × 990,019
  4. Step 4: Simplify right side
    460,018x = 980,137,620,361
  5. Step 5: Solve for x
    x = 980,137,620,361/460,018
  6. Step 6: Final answer
    x = 2,130,650.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.