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Finding the Third Proportional to 136,608,405.19 and 209,847,219.94

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Solution

The third proportional to 136,608,405.19 and 209,847,219.94 is: 322,350,997.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,608,405.19 : 209,847,219.94 = 209,847,219.94 : x
  2. Step 2: Convert to fraction form
    136,608,405.19/209,847,219.94 = 209,847,219.94/x
  3. Step 3: Cross multiply
    136,608,405.19x = 209,847,219.94 × 209,847,219.94
  4. Step 4: Simplify right side
    136,608,405.19x = 44,035,855,715,497,496
  5. Step 5: Solve for x
    x = 44,035,855,715,497,496/136,608,405.19
  6. Step 6: Final answer
    x = 322,350,997.77

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.