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Finding the Third Proportional to 298,972 and 402,778

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Solution

The third proportional to 298,972 and 402,778 is: 542,626.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,972 : 402,778 = 402,778 : x
  2. Step 2: Convert to fraction form
    298,972/402,778 = 402,778/x
  3. Step 3: Cross multiply
    298,972x = 402,778 × 402,778
  4. Step 4: Simplify right side
    298,972x = 162,230,117,284
  5. Step 5: Solve for x
    x = 162,230,117,284/298,972
  6. Step 6: Final answer
    x = 542,626.46

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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.