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Finding the Third Proportional to 133,511,779,224 and 282,941,279,280

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Solution

The third proportional to 133,511,779,224 and 282,941,279,280 is: 599,615,764,136.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,511,779,224 : 282,941,279,280 = 282,941,279,280 : x
  2. Step 2: Convert to fraction form
    133,511,779,224/282,941,279,280 = 282,941,279,280/x
  3. Step 3: Cross multiply
    133,511,779,224x = 282,941,279,280 × 282,941,279,280
  4. Step 4: Simplify right side
    133,511,779,224x = 80,055,767,520,602,964,885,504
  5. Step 5: Solve for x
    x = 80,055,767,520,602,964,885,504/133,511,779,224
  6. Step 6: Final answer
    x = 599,615,764,136.35

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.