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Finding the Third Proportional to 621,470 and 940,607

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Solution

The third proportional to 621,470 and 940,607 is: 1,423,627.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,470 : 940,607 = 940,607 : x
  2. Step 2: Convert to fraction form
    621,470/940,607 = 940,607/x
  3. Step 3: Cross multiply
    621,470x = 940,607 × 940,607
  4. Step 4: Simplify right side
    621,470x = 884,741,528,449
  5. Step 5: Solve for x
    x = 884,741,528,449/621,470
  6. Step 6: Final answer
    x = 1,423,627.09

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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.