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Finding the Third Proportional to 81,432,736 and 168,534,174

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Solution

The third proportional to 81,432,736 and 168,534,174 is: 348,800,362.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,432,736 : 168,534,174 = 168,534,174 : x
  2. Step 2: Convert to fraction form
    81,432,736/168,534,174 = 168,534,174/x
  3. Step 3: Cross multiply
    81,432,736x = 168,534,174 × 168,534,174
  4. Step 4: Simplify right side
    81,432,736x = 28,403,767,805,862,276
  5. Step 5: Solve for x
    x = 28,403,767,805,862,276/81,432,736
  6. Step 6: Final answer
    x = 348,800,362.13

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.