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Finding the Third Proportional to 354,973 and 772,142

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Solution

The third proportional to 354,973 and 772,142 is: 1,679,573.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,973 : 772,142 = 772,142 : x
  2. Step 2: Convert to fraction form
    354,973/772,142 = 772,142/x
  3. Step 3: Cross multiply
    354,973x = 772,142 × 772,142
  4. Step 4: Simplify right side
    354,973x = 596,203,268,164
  5. Step 5: Solve for x
    x = 596,203,268,164/354,973
  6. Step 6: Final answer
    x = 1,679,573.57

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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.