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Finding the Third Proportional to 59,122,941,176 and 122,436,709,360

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Solution

The third proportional to 59,122,941,176 and 122,436,709,360 is: 253,552,132,230.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,122,941,176 : 122,436,709,360 = 122,436,709,360 : x
  2. Step 2: Convert to fraction form
    59,122,941,176/122,436,709,360 = 122,436,709,360/x
  3. Step 3: Cross multiply
    59,122,941,176x = 122,436,709,360 × 122,436,709,360
  4. Step 4: Simplify right side
    59,122,941,176x = 14,990,747,798,905,112,494,080
  5. Step 5: Solve for x
    x = 14,990,747,798,905,112,494,080/59,122,941,176
  6. Step 6: Final answer
    x = 253,552,132,230.36

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.