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Finding the Third Proportional to 205,166,112 and 433,224,768

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Solution

The third proportional to 205,166,112 and 433,224,768 is: 914,788,986.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,166,112 : 433,224,768 = 433,224,768 : x
  2. Step 2: Convert to fraction form
    205,166,112/433,224,768 = 433,224,768/x
  3. Step 3: Cross multiply
    205,166,112x = 433,224,768 × 433,224,768
  4. Step 4: Simplify right side
    205,166,112x = 187,683,699,608,653,824
  5. Step 5: Solve for x
    x = 187,683,699,608,653,824/205,166,112
  6. Step 6: Final answer
    x = 914,788,986.25

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.