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Finding the Third Proportional to 178,100,228 and 272,446,823

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Solution

The third proportional to 178,100,228 and 272,446,823 is: 416,772,466.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,100,228 : 272,446,823 = 272,446,823 : x
  2. Step 2: Convert to fraction form
    178,100,228/272,446,823 = 272,446,823/x
  3. Step 3: Cross multiply
    178,100,228x = 272,446,823 × 272,446,823
  4. Step 4: Simplify right side
    178,100,228x = 74,227,271,362,793,328
  5. Step 5: Solve for x
    x = 74,227,271,362,793,328/178,100,228
  6. Step 6: Final answer
    x = 416,772,466.81

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.