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Finding the Third Proportional to 19,680,120 and 27,128,657.25

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Solution

The third proportional to 19,680,120 and 27,128,657.25 is: 37,396,318.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,680,120 : 27,128,657.25 = 27,128,657.25 : x
  2. Step 2: Convert to fraction form
    19,680,120/27,128,657.25 = 27,128,657.25/x
  3. Step 3: Cross multiply
    19,680,120x = 27,128,657.25 × 27,128,657.25
  4. Step 4: Simplify right side
    19,680,120x = 735,964,044,187,977.50
  5. Step 5: Solve for x
    x = 735,964,044,187,977.50/19,680,120
  6. Step 6: Final answer
    x = 37,396,318.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.