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Finding the Third Proportional to 219,424,982 and 321,863,274

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Solution

The third proportional to 219,424,982 and 321,863,274 is: 472,124,760.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,424,982 : 321,863,274 = 321,863,274 : x
  2. Step 2: Convert to fraction form
    219,424,982/321,863,274 = 321,863,274/x
  3. Step 3: Cross multiply
    219,424,982x = 321,863,274 × 321,863,274
  4. Step 4: Simplify right side
    219,424,982x = 103,595,967,149,999,072
  5. Step 5: Solve for x
    x = 103,595,967,149,999,072/219,424,982
  6. Step 6: Final answer
    x = 472,124,760.84

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.