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Finding the Third Proportional to 133,184,230,071 and 310,773,943,080

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Solution

The third proportional to 133,184,230,071 and 310,773,943,080 is: 725,164,260,408.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,184,230,071 : 310,773,943,080 = 310,773,943,080 : x
  2. Step 2: Convert to fraction form
    133,184,230,071/310,773,943,080 = 310,773,943,080/x
  3. Step 3: Cross multiply
    133,184,230,071x = 310,773,943,080 × 310,773,943,080
  4. Step 4: Simplify right side
    133,184,230,071x = 96,580,443,697,491,078,021,120
  5. Step 5: Solve for x
    x = 96,580,443,697,491,078,021,120/133,184,230,071
  6. Step 6: Final answer
    x = 725,164,260,408.34

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.