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Finding the Third Proportional to 13,368,129.75 and 19,809,428.25

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Solution

The third proportional to 13,368,129.75 and 19,809,428.25 is: 29,354,401.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,368,129.75 : 19,809,428.25 = 19,809,428.25 : x
  2. Step 2: Convert to fraction form
    13,368,129.75/19,809,428.25 = 19,809,428.25/x
  3. Step 3: Cross multiply
    13,368,129.75x = 19,809,428.25 × 19,809,428.25
  4. Step 4: Simplify right side
    13,368,129.75x = 392,413,447,591,898.06
  5. Step 5: Solve for x
    x = 392,413,447,591,898.06/13,368,129.75
  6. Step 6: Final answer
    x = 29,354,401.47

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.