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Finding the Third Proportional to 156,501,758,124 and 343,748,736,168

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Solution

The third proportional to 156,501,758,124 and 343,748,736,168 is: 755,027,898,942.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,501,758,124 : 343,748,736,168 = 343,748,736,168 : x
  2. Step 2: Convert to fraction form
    156,501,758,124/343,748,736,168 = 343,748,736,168/x
  3. Step 3: Cross multiply
    156,501,758,124x = 343,748,736,168 × 343,748,736,168
  4. Step 4: Simplify right side
    156,501,758,124x = 118,163,193,617,097,275,998,208
  5. Step 5: Solve for x
    x = 118,163,193,617,097,275,998,208/156,501,758,124
  6. Step 6: Final answer
    x = 755,027,898,942.03

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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.