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Finding the Third Proportional to 196,332,156 and 427,139,640

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Solution

The third proportional to 196,332,156 and 427,139,640 is: 929,283,698.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,332,156 : 427,139,640 = 427,139,640 : x
  2. Step 2: Convert to fraction form
    196,332,156/427,139,640 = 427,139,640/x
  3. Step 3: Cross multiply
    196,332,156x = 427,139,640 × 427,139,640
  4. Step 4: Simplify right side
    196,332,156x = 182,448,272,059,329,600
  5. Step 5: Solve for x
    x = 182,448,272,059,329,600/196,332,156
  6. Step 6: Final answer
    x = 929,283,698.49

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.