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Finding the Third Proportional to 354,552 and 777,984

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Solution

The third proportional to 354,552 and 777,984 is: 1,707,109.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,552 : 777,984 = 777,984 : x
  2. Step 2: Convert to fraction form
    354,552/777,984 = 777,984/x
  3. Step 3: Cross multiply
    354,552x = 777,984 × 777,984
  4. Step 4: Simplify right side
    354,552x = 605,259,104,256
  5. Step 5: Solve for x
    x = 605,259,104,256/354,552
  6. Step 6: Final answer
    x = 1,707,109.55

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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.