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Finding the Third Proportional to 13,802,289 and 29,032,409.25

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Solution

The third proportional to 13,802,289 and 29,032,409.25 is: 61,068,188.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,802,289 : 29,032,409.25 = 29,032,409.25 : x
  2. Step 2: Convert to fraction form
    13,802,289/29,032,409.25 = 29,032,409.25/x
  3. Step 3: Cross multiply
    13,802,289x = 29,032,409.25 × 29,032,409.25
  4. Step 4: Simplify right side
    13,802,289x = 842,880,786,859,485.50
  5. Step 5: Solve for x
    x = 842,880,786,859,485.50/13,802,289
  6. Step 6: Final answer
    x = 61,068,188.53

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.