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Finding the Third Proportional to 162,795,432,512 and 245,740,880,480

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Solution

The third proportional to 162,795,432,512 and 245,740,880,480 is: 370,947,632,911.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,795,432,512 : 245,740,880,480 = 245,740,880,480 : x
  2. Step 2: Convert to fraction form
    162,795,432,512/245,740,880,480 = 245,740,880,480/x
  3. Step 3: Cross multiply
    162,795,432,512x = 245,740,880,480 × 245,740,880,480
  4. Step 4: Simplify right side
    162,795,432,512x = 60,388,580,339,085,641,515,008
  5. Step 5: Solve for x
    x = 60,388,580,339,085,641,515,008/162,795,432,512
  6. Step 6: Final answer
    x = 370,947,632,911.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.