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Finding the Third Proportional to 354,984 and 778,008

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Solution

The third proportional to 354,984 and 778,008 is: 1,705,137.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,984 : 778,008 = 778,008 : x
  2. Step 2: Convert to fraction form
    354,984/778,008 = 778,008/x
  3. Step 3: Cross multiply
    354,984x = 778,008 × 778,008
  4. Step 4: Simplify right side
    354,984x = 605,296,448,064
  5. Step 5: Solve for x
    x = 605,296,448,064/354,984
  6. Step 6: Final answer
    x = 1,705,137.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.