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Finding the Third Proportional to 12,909,201 and 27,810,120

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Solution

The third proportional to 12,909,201 and 27,810,120 is: 59,910,971.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,909,201 : 27,810,120 = 27,810,120 : x
  2. Step 2: Convert to fraction form
    12,909,201/27,810,120 = 27,810,120/x
  3. Step 3: Cross multiply
    12,909,201x = 27,810,120 × 27,810,120
  4. Step 4: Simplify right side
    12,909,201x = 773,402,774,414,400
  5. Step 5: Solve for x
    x = 773,402,774,414,400/12,909,201
  6. Step 6: Final answer
    x = 59,910,971.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.