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Finding the Third Proportional to 99,413,173 and 209,128,552

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Solution

The third proportional to 99,413,173 and 209,128,552 is: 439,929,135.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,413,173 : 209,128,552 = 209,128,552 : x
  2. Step 2: Convert to fraction form
    99,413,173/209,128,552 = 209,128,552/x
  3. Step 3: Cross multiply
    99,413,173x = 209,128,552 × 209,128,552
  4. Step 4: Simplify right side
    99,413,173x = 43,734,751,261,616,704
  5. Step 5: Solve for x
    x = 43,734,751,261,616,704/99,413,173
  6. Step 6: Final answer
    x = 439,929,135.56

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.