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Finding the Third Proportional to 78,332,887,406 and 117,582,240,791

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Solution

The third proportional to 78,332,887,406 and 117,582,240,791 is: 176,497,813,463.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,332,887,406 : 117,582,240,791 = 117,582,240,791 : x
  2. Step 2: Convert to fraction form
    78,332,887,406/117,582,240,791 = 117,582,240,791/x
  3. Step 3: Cross multiply
    78,332,887,406x = 117,582,240,791 × 117,582,240,791
  4. Step 4: Simplify right side
    78,332,887,406x = 13,825,583,349,432,703,778,816
  5. Step 5: Solve for x
    x = 13,825,583,349,432,703,778,816/78,332,887,406
  6. Step 6: Final answer
    x = 176,497,813,463.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.