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Finding the Third Proportional to 134,957,730,501 and 281,085,832,977

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Solution

The third proportional to 134,957,730,501 and 281,085,832,977 is: 585,436,975,022.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,957,730,501 : 281,085,832,977 = 281,085,832,977 : x
  2. Step 2: Convert to fraction form
    134,957,730,501/281,085,832,977 = 281,085,832,977/x
  3. Step 3: Cross multiply
    134,957,730,501x = 281,085,832,977 × 281,085,832,977
  4. Step 4: Simplify right side
    134,957,730,501x = 79,009,245,500,373,943,189,504
  5. Step 5: Solve for x
    x = 79,009,245,500,373,943,189,504/134,957,730,501
  6. Step 6: Final answer
    x = 585,436,975,022.25

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.