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Finding the Third Proportional to 13,225,329 and 20,427,277.50

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Solution

The third proportional to 13,225,329 and 20,427,277.50 is: 31,551,099.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,225,329 : 20,427,277.50 = 20,427,277.50 : x
  2. Step 2: Convert to fraction form
    13,225,329/20,427,277.50 = 20,427,277.50/x
  3. Step 3: Cross multiply
    13,225,329x = 20,427,277.50 × 20,427,277.50
  4. Step 4: Simplify right side
    13,225,329x = 417,273,666,062,006.25
  5. Step 5: Solve for x
    x = 417,273,666,062,006.25/13,225,329
  6. Step 6: Final answer
    x = 31,551,099.11

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.