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Finding the Third Proportional to 431,488 and 938,728

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Solution

The third proportional to 431,488 and 938,728 is: 2,042,259.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,488 : 938,728 = 938,728 : x
  2. Step 2: Convert to fraction form
    431,488/938,728 = 938,728/x
  3. Step 3: Cross multiply
    431,488x = 938,728 × 938,728
  4. Step 4: Simplify right side
    431,488x = 881,210,257,984
  5. Step 5: Solve for x
    x = 881,210,257,984/431,488
  6. Step 6: Final answer
    x = 2,042,259.02

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.