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Finding the Third Proportional to 101,082,104.63 and 144,448,669.13

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Solution

The third proportional to 101,082,104.63 and 144,448,669.13 is: 206,420,494.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,082,104.63 : 144,448,669.13 = 144,448,669.13 : x
  2. Step 2: Convert to fraction form
    101,082,104.63/144,448,669.13 = 144,448,669.13/x
  3. Step 3: Cross multiply
    101,082,104.63x = 144,448,669.13 × 144,448,669.13
  4. Step 4: Simplify right side
    101,082,104.63x = 20,865,418,011,983,728
  5. Step 5: Solve for x
    x = 20,865,418,011,983,728/101,082,104.63
  6. Step 6: Final answer
    x = 206,420,494.40

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.