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Finding the Third Proportional to 59,122,941,188 and 122,436,709,384

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Solution

The third proportional to 59,122,941,188 and 122,436,709,384 is: 253,552,132,278.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,122,941,188 : 122,436,709,384 = 122,436,709,384 : x
  2. Step 2: Convert to fraction form
    59,122,941,188/122,436,709,384 = 122,436,709,384/x
  3. Step 3: Cross multiply
    59,122,941,188x = 122,436,709,384 × 122,436,709,384
  4. Step 4: Simplify right side
    59,122,941,188x = 14,990,747,804,782,072,692,736
  5. Step 5: Solve for x
    x = 14,990,747,804,782,072,692,736/59,122,941,188
  6. Step 6: Final answer
    x = 253,552,132,278.30

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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.