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Finding the Third Proportional to 460,018 and 990,021

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Solution

The third proportional to 460,018 and 990,021 is: 2,130,659.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,018 : 990,021 = 990,021 : x
  2. Step 2: Convert to fraction form
    460,018/990,021 = 990,021/x
  3. Step 3: Cross multiply
    460,018x = 990,021 × 990,021
  4. Step 4: Simplify right side
    460,018x = 980,141,580,441
  5. Step 5: Solve for x
    x = 980,141,580,441/460,018
  6. Step 6: Final answer
    x = 2,130,659.19

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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.