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Finding the Third Proportional to 76,820,672 and 168,964,127

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Solution

The third proportional to 76,820,672 and 168,964,127 is: 371,630,128.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,820,672 : 168,964,127 = 168,964,127 : x
  2. Step 2: Convert to fraction form
    76,820,672/168,964,127 = 168,964,127/x
  3. Step 3: Cross multiply
    76,820,672x = 168,964,127 × 168,964,127
  4. Step 4: Simplify right side
    76,820,672x = 28,548,876,212,872,128
  5. Step 5: Solve for x
    x = 28,548,876,212,872,128/76,820,672
  6. Step 6: Final answer
    x = 371,630,128.58

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.