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Finding the Third Proportional to 621,474.75 and 940,613.63

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Solution

The third proportional to 621,474.75 and 940,613.63 is: 1,423,636.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,474.75 : 940,613.63 = 940,613.63 : x
  2. Step 2: Convert to fraction form
    621,474.75/940,613.63 = 940,613.63/x
  3. Step 3: Cross multiply
    621,474.75x = 940,613.63 × 940,613.63
  4. Step 4: Simplify right side
    621,474.75x = 884,753,991,535.64
  5. Step 5: Solve for x
    x = 884,753,991,535.64/621,474.75
  6. Step 6: Final answer
    x = 1,423,636.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.