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Finding the Third Proportional to 460,518 and 991,020

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Solution

The third proportional to 460,518 and 991,020 is: 2,132,643.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,518 : 991,020 = 991,020 : x
  2. Step 2: Convert to fraction form
    460,518/991,020 = 991,020/x
  3. Step 3: Cross multiply
    460,518x = 991,020 × 991,020
  4. Step 4: Simplify right side
    460,518x = 982,120,640,400
  5. Step 5: Solve for x
    x = 982,120,640,400/460,518
  6. Step 6: Final answer
    x = 2,132,643.33

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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.