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Finding the Third Proportional to 134,360,954,216 and 288,661,436,980

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Solution

The third proportional to 134,360,954,216 and 288,661,436,980 is: 620,161,010,954.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,360,954,216 : 288,661,436,980 = 288,661,436,980 : x
  2. Step 2: Convert to fraction form
    134,360,954,216/288,661,436,980 = 288,661,436,980/x
  3. Step 3: Cross multiply
    134,360,954,216x = 288,661,436,980 × 288,661,436,980
  4. Step 4: Simplify right side
    134,360,954,216x = 83,325,425,199,358,517,706,752
  5. Step 5: Solve for x
    x = 83,325,425,199,358,517,706,752/134,360,954,216
  6. Step 6: Final answer
    x = 620,161,010,954.15

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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.