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Finding the Third Proportional to 298,740 and 473,266

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Solution

The third proportional to 298,740 and 473,266 is: 749,751.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,740 : 473,266 = 473,266 : x
  2. Step 2: Convert to fraction form
    298,740/473,266 = 473,266/x
  3. Step 3: Cross multiply
    298,740x = 473,266 × 473,266
  4. Step 4: Simplify right side
    298,740x = 223,980,706,756
  5. Step 5: Solve for x
    x = 223,980,706,756/298,740
  6. Step 6: Final answer
    x = 749,751.31

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.