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Finding the Third Proportional to 76,820,669.50 and 168,964,122.50

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Solution

The third proportional to 76,820,669.50 and 168,964,122.50 is: 371,630,120.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,820,669.50 : 168,964,122.50 = 168,964,122.50 : x
  2. Step 2: Convert to fraction form
    76,820,669.50/168,964,122.50 = 168,964,122.50/x
  3. Step 3: Cross multiply
    76,820,669.50x = 168,964,122.50 × 168,964,122.50
  4. Step 4: Simplify right side
    76,820,669.50x = 28,548,874,692,195,008
  5. Step 5: Solve for x
    x = 28,548,874,692,195,008/76,820,669.50
  6. Step 6: Final answer
    x = 371,630,120.88

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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.