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Finding the Third Proportional to 111,977,163 and 160,127,536.50

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Solution

The third proportional to 111,977,163 and 160,127,536.50 is: 228,982,653.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,977,163 : 160,127,536.50 = 160,127,536.50 : x
  2. Step 2: Convert to fraction form
    111,977,163/160,127,536.50 = 160,127,536.50/x
  3. Step 3: Cross multiply
    111,977,163x = 160,127,536.50 × 160,127,536.50
  4. Step 4: Simplify right side
    111,977,163x = 25,640,827,945,558,832
  5. Step 5: Solve for x
    x = 25,640,827,945,558,832/111,977,163
  6. Step 6: Final answer
    x = 228,982,653.77

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.