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Finding the Third Proportional to 109,959,686 and 161,344,816

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Solution

The third proportional to 109,959,686 and 161,344,816 is: 236,742,669.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,959,686 : 161,344,816 = 161,344,816 : x
  2. Step 2: Convert to fraction form
    109,959,686/161,344,816 = 161,344,816/x
  3. Step 3: Cross multiply
    109,959,686x = 161,344,816 × 161,344,816
  4. Step 4: Simplify right side
    109,959,686x = 26,032,149,650,073,856
  5. Step 5: Solve for x
    x = 26,032,149,650,073,856/109,959,686
  6. Step 6: Final answer
    x = 236,742,669.95

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.