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Finding the Third Proportional to 88,726,345,232 and 197,290,635,034

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Solution

The third proportional to 88,726,345,232 and 197,290,635,034 is: 438,692,640,504.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,726,345,232 : 197,290,635,034 = 197,290,635,034 : x
  2. Step 2: Convert to fraction form
    88,726,345,232/197,290,635,034 = 197,290,635,034/x
  3. Step 3: Cross multiply
    88,726,345,232x = 197,290,635,034 × 197,290,635,034
  4. Step 4: Simplify right side
    88,726,345,232x = 38,923,594,672,118,989,586,432
  5. Step 5: Solve for x
    x = 38,923,594,672,118,989,586,432/88,726,345,232
  6. Step 6: Final answer
    x = 438,692,640,504.26

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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.