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Finding the Third Proportional to 126,156,420 and 184,445,095.50

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Solution

The third proportional to 126,156,420 and 184,445,095.50 is: 269,665,176.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,156,420 : 184,445,095.50 = 184,445,095.50 : x
  2. Step 2: Convert to fraction form
    126,156,420/184,445,095.50 = 184,445,095.50/x
  3. Step 3: Cross multiply
    126,156,420x = 184,445,095.50 × 184,445,095.50
  4. Step 4: Simplify right side
    126,156,420x = 34,019,993,254,004,120
  5. Step 5: Solve for x
    x = 34,019,993,254,004,120/126,156,420
  6. Step 6: Final answer
    x = 269,665,176.41

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.