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Finding the Third Proportional to 15,167,649 and 21,461,755.50

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Solution

The third proportional to 15,167,649 and 21,461,755.50 is: 30,367,722.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,167,649 : 21,461,755.50 = 21,461,755.50 : x
  2. Step 2: Convert to fraction form
    15,167,649/21,461,755.50 = 21,461,755.50/x
  3. Step 3: Cross multiply
    15,167,649x = 21,461,755.50 × 21,461,755.50
  4. Step 4: Simplify right side
    15,167,649x = 460,606,949,141,780.25
  5. Step 5: Solve for x
    x = 460,606,949,141,780.25/15,167,649
  6. Step 6: Final answer
    x = 30,367,722.06

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.