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Finding the Third Proportional to 298,403 and 610,595

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Solution

The third proportional to 298,403 and 610,595 is: 1,249,405.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,403 : 610,595 = 610,595 : x
  2. Step 2: Convert to fraction form
    298,403/610,595 = 610,595/x
  3. Step 3: Cross multiply
    298,403x = 610,595 × 610,595
  4. Step 4: Simplify right side
    298,403x = 372,826,254,025
  5. Step 5: Solve for x
    x = 372,826,254,025/298,403
  6. Step 6: Final answer
    x = 1,249,405.18

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.