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Finding the Third Proportional to 156,501,758,112 and 343,748,736,144

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Solution

The third proportional to 156,501,758,112 and 343,748,736,144 is: 755,027,898,894.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,501,758,112 : 343,748,736,144 = 343,748,736,144 : x
  2. Step 2: Convert to fraction form
    156,501,758,112/343,748,736,144 = 343,748,736,144/x
  3. Step 3: Cross multiply
    156,501,758,112x = 343,748,736,144 × 343,748,736,144
  4. Step 4: Simplify right side
    156,501,758,112x = 118,163,193,600,597,337,047,040
  5. Step 5: Solve for x
    x = 118,163,193,600,597,337,047,040/156,501,758,112
  6. Step 6: Final answer
    x = 755,027,898,894.49

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