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Finding the Third Proportional to 21,788,406 and 47,183,899.50

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Solution

The third proportional to 21,788,406 and 47,183,899.50 is: 102,179,130.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,788,406 : 47,183,899.50 = 47,183,899.50 : x
  2. Step 2: Convert to fraction form
    21,788,406/47,183,899.50 = 47,183,899.50/x
  3. Step 3: Cross multiply
    21,788,406x = 47,183,899.50 × 47,183,899.50
  4. Step 4: Simplify right side
    21,788,406x = 2,226,320,372,026,100.25
  5. Step 5: Solve for x
    x = 2,226,320,372,026,100.25/21,788,406
  6. Step 6: Final answer
    x = 102,179,130.13

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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.