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Finding the Third Proportional to 298,440.19 and 462,789.28

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Solution

The third proportional to 298,440.19 and 462,789.28 is: 717,644.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,440.19 : 462,789.28 = 462,789.28 : x
  2. Step 2: Convert to fraction form
    298,440.19/462,789.28 = 462,789.28/x
  3. Step 3: Cross multiply
    298,440.19x = 462,789.28 × 462,789.28
  4. Step 4: Simplify right side
    298,440.19x = 214,173,918,839.89
  5. Step 5: Solve for x
    x = 214,173,918,839.89/298,440.19
  6. Step 6: Final answer
    x = 717,644.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.