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Finding the Third Proportional to 21,767,049 and 31,465,887.75

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Solution

The third proportional to 21,767,049 and 31,465,887.75 is: 45,486,280.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,767,049 : 31,465,887.75 = 31,465,887.75 : x
  2. Step 2: Convert to fraction form
    21,767,049/31,465,887.75 = 31,465,887.75/x
  3. Step 3: Cross multiply
    21,767,049x = 31,465,887.75 × 31,465,887.75
  4. Step 4: Simplify right side
    21,767,049x = 990,102,091,895,600
  5. Step 5: Solve for x
    x = 990,102,091,895,600/21,767,049
  6. Step 6: Final answer
    x = 45,486,280.29

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.