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Finding the Third Proportional to 298,458.84 and 644,182.88

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Solution

The third proportional to 298,458.84 and 644,182.88 is: 1,390,381.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,458.84 : 644,182.88 = 644,182.88 : x
  2. Step 2: Convert to fraction form
    298,458.84/644,182.88 = 644,182.88/x
  3. Step 3: Cross multiply
    298,458.84x = 644,182.88 × 644,182.88
  4. Step 4: Simplify right side
    298,458.84x = 414,971,576,443.27
  5. Step 5: Solve for x
    x = 414,971,576,443.27/298,458.84
  6. Step 6: Final answer
    x = 1,390,381.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.