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Finding the Third Proportional to 298,428 and 421,863

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Solution

The third proportional to 298,428 and 421,863 is: 596,352.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,428 : 421,863 = 421,863 : x
  2. Step 2: Convert to fraction form
    298,428/421,863 = 421,863/x
  3. Step 3: Cross multiply
    298,428x = 421,863 × 421,863
  4. Step 4: Simplify right side
    298,428x = 177,968,390,769
  5. Step 5: Solve for x
    x = 177,968,390,769/298,428
  6. Step 6: Final answer
    x = 596,352.86

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.