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Finding the Third Proportional to 113,870,596,610 and 237,166,193,236

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Solution

The third proportional to 113,870,596,610 and 237,166,193,236 is: 493,962,488,022.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,870,596,610 : 237,166,193,236 = 237,166,193,236 : x
  2. Step 2: Convert to fraction form
    113,870,596,610/237,166,193,236 = 237,166,193,236/x
  3. Step 3: Cross multiply
    113,870,596,610x = 237,166,193,236 × 237,166,193,236
  4. Step 4: Simplify right side
    113,870,596,610x = 56,247,803,214,055,690,207,232
  5. Step 5: Solve for x
    x = 56,247,803,214,055,690,207,232/113,870,596,610
  6. Step 6: Final answer
    x = 493,962,488,022.27

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.