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Finding the Third Proportional to 227,752,390,876 and 489,780,733,348

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Solution

The third proportional to 227,752,390,876 and 489,780,733,348 is: 1,053,271,782,729.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,752,390,876 : 489,780,733,348 = 489,780,733,348 : x
  2. Step 2: Convert to fraction form
    227,752,390,876/489,780,733,348 = 489,780,733,348/x
  3. Step 3: Cross multiply
    227,752,390,876x = 489,780,733,348 × 489,780,733,348
  4. Step 4: Simplify right side
    227,752,390,876x = 239,885,166,758,904,668,880,896
  5. Step 5: Solve for x
    x = 239,885,166,758,904,668,880,896/227,752,390,876
  6. Step 6: Final answer
    x = 1,053,271,782,729.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.