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Finding the Third Proportional to 354,532 and 777,948

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Solution

The third proportional to 354,532 and 777,948 is: 1,707,047.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,532 : 777,948 = 777,948 : x
  2. Step 2: Convert to fraction form
    354,532/777,948 = 777,948/x
  3. Step 3: Cross multiply
    354,532x = 777,948 × 777,948
  4. Step 4: Simplify right side
    354,532x = 605,203,090,704
  5. Step 5: Solve for x
    x = 605,203,090,704/354,532
  6. Step 6: Final answer
    x = 1,707,047.86

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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.