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Finding the Third Proportional to 460,020 and 990,025

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Solution

The third proportional to 460,020 and 990,025 is: 2,130,667.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,020 : 990,025 = 990,025 : x
  2. Step 2: Convert to fraction form
    460,020/990,025 = 990,025/x
  3. Step 3: Cross multiply
    460,020x = 990,025 × 990,025
  4. Step 4: Simplify right side
    460,020x = 980,149,500,625
  5. Step 5: Solve for x
    x = 980,149,500,625/460,020
  6. Step 6: Final answer
    x = 2,130,667.15

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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.