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Finding the Third Proportional to 298,971 and 402,777

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Solution

The third proportional to 298,971 and 402,777 is: 542,625.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,971 : 402,777 = 402,777 : x
  2. Step 2: Convert to fraction form
    298,971/402,777 = 402,777/x
  3. Step 3: Cross multiply
    298,971x = 402,777 × 402,777
  4. Step 4: Simplify right side
    298,971x = 162,229,311,729
  5. Step 5: Solve for x
    x = 162,229,311,729/298,971
  6. Step 6: Final answer
    x = 542,625.58

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.