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Finding the Third Proportional to 298,458 and 614,411

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Solution

The third proportional to 298,458 and 614,411 is: 1,264,837.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,458 : 614,411 = 614,411 : x
  2. Step 2: Convert to fraction form
    298,458/614,411 = 614,411/x
  3. Step 3: Cross multiply
    298,458x = 614,411 × 614,411
  4. Step 4: Simplify right side
    298,458x = 377,500,876,921
  5. Step 5: Solve for x
    x = 377,500,876,921/298,458
  6. Step 6: Final answer
    x = 1,264,837.52

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.