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Finding the Third Proportional to 109,289,439 and 236,739,240

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Solution

The third proportional to 109,289,439 and 236,739,240 is: 512,816,867.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,289,439 : 236,739,240 = 236,739,240 : x
  2. Step 2: Convert to fraction form
    109,289,439/236,739,240 = 236,739,240/x
  3. Step 3: Cross multiply
    109,289,439x = 236,739,240 × 236,739,240
  4. Step 4: Simplify right side
    109,289,439x = 56,045,467,755,777,600
  5. Step 5: Solve for x
    x = 56,045,467,755,777,600/109,289,439
  6. Step 6: Final answer
    x = 512,816,867.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.