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Finding the Third Proportional to 72,397,408.50 and 154,266,305.63

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Solution

The third proportional to 72,397,408.50 and 154,266,305.63 is: 328,714,708.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,397,408.50 : 154,266,305.63 = 154,266,305.63 : x
  2. Step 2: Convert to fraction form
    72,397,408.50/154,266,305.63 = 154,266,305.63/x
  3. Step 3: Cross multiply
    72,397,408.50x = 154,266,305.63 × 154,266,305.63
  4. Step 4: Simplify right side
    72,397,408.50x = 23,798,093,051,185,908
  5. Step 5: Solve for x
    x = 23,798,093,051,185,908/72,397,408.50
  6. Step 6: Final answer
    x = 328,714,708.78

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.