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Finding the Third Proportional to 81,432,734 and 168,534,170

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Solution

The third proportional to 81,432,734 and 168,534,170 is: 348,800,354.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,432,734 : 168,534,170 = 168,534,170 : x
  2. Step 2: Convert to fraction form
    81,432,734/168,534,170 = 168,534,170/x
  3. Step 3: Cross multiply
    81,432,734x = 168,534,170 × 168,534,170
  4. Step 4: Simplify right side
    81,432,734x = 28,403,766,457,588,900
  5. Step 5: Solve for x
    x = 28,403,766,457,588,900/81,432,734
  6. Step 6: Final answer
    x = 348,800,354.14

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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.