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Finding the Third Proportional to 621,480 and 940,620

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Solution

The third proportional to 621,480 and 940,620 is: 1,423,643.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,480 : 940,620 = 940,620 : x
  2. Step 2: Convert to fraction form
    621,480/940,620 = 940,620/x
  3. Step 3: Cross multiply
    621,480x = 940,620 × 940,620
  4. Step 4: Simplify right side
    621,480x = 884,765,984,400
  5. Step 5: Solve for x
    x = 884,765,984,400/621,480
  6. Step 6: Final answer
    x = 1,423,643.54

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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.