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Finding the Third Proportional to 84,602,811 and 114,149,056.50

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Solution

The third proportional to 84,602,811 and 114,149,056.50 is: 154,013,879.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,602,811 : 114,149,056.50 = 114,149,056.50 : x
  2. Step 2: Convert to fraction form
    84,602,811/114,149,056.50 = 114,149,056.50/x
  3. Step 3: Cross multiply
    84,602,811x = 114,149,056.50 × 114,149,056.50
  4. Step 4: Simplify right side
    84,602,811x = 13,030,007,099,840,192
  5. Step 5: Solve for x
    x = 13,030,007,099,840,192/84,602,811
  6. Step 6: Final answer
    x = 154,013,879.04

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.