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Finding the Third Proportional to 78,686,442,062 and 120,871,999,696

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Solution

The third proportional to 78,686,442,062 and 120,871,999,696 is: 185,674,176,232.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,686,442,062 : 120,871,999,696 = 120,871,999,696 : x
  2. Step 2: Convert to fraction form
    78,686,442,062/120,871,999,696 = 120,871,999,696/x
  3. Step 3: Cross multiply
    78,686,442,062x = 120,871,999,696 × 120,871,999,696
  4. Step 4: Simplify right side
    78,686,442,062x = 14,610,040,310,509,823,066,112
  5. Step 5: Solve for x
    x = 14,610,040,310,509,823,066,112/78,686,442,062
  6. Step 6: Final answer
    x = 185,674,176,232.27

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.