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Finding the Third Proportional to 88,726,345,230 and 197,290,635,030

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Solution

The third proportional to 88,726,345,230 and 197,290,635,030 is: 438,692,640,496.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,726,345,230 : 197,290,635,030 = 197,290,635,030 : x
  2. Step 2: Convert to fraction form
    88,726,345,230/197,290,635,030 = 197,290,635,030/x
  3. Step 3: Cross multiply
    88,726,345,230x = 197,290,635,030 × 197,290,635,030
  4. Step 4: Simplify right side
    88,726,345,230x = 38,923,594,670,540,664,602,624
  5. Step 5: Solve for x
    x = 38,923,594,670,540,664,602,624/88,726,345,230
  6. Step 6: Final answer
    x = 438,692,640,496.36

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.