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Finding the Third Proportional to 133,183,712,255 and 314,289,724,682

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Solution

The third proportional to 133,183,712,255 and 314,289,724,682 is: 741,667,500,989.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,183,712,255 : 314,289,724,682 = 314,289,724,682 : x
  2. Step 2: Convert to fraction form
    133,183,712,255/314,289,724,682 = 314,289,724,682/x
  3. Step 3: Cross multiply
    133,183,712,255x = 314,289,724,682 × 314,289,724,682
  4. Step 4: Simplify right side
    133,183,712,255x = 98,778,031,040,687,362,801,664
  5. Step 5: Solve for x
    x = 98,778,031,040,687,362,801,664/133,183,712,255
  6. Step 6: Final answer
    x = 741,667,500,989.63

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.