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Finding the Third Proportional to 21,521,061 and 31,976,707.50

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Solution

The third proportional to 21,521,061 and 31,976,707.50 is: 47,512,054.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,521,061 : 31,976,707.50 = 31,976,707.50 : x
  2. Step 2: Convert to fraction form
    21,521,061/31,976,707.50 = 31,976,707.50/x
  3. Step 3: Cross multiply
    21,521,061x = 31,976,707.50 × 31,976,707.50
  4. Step 4: Simplify right side
    21,521,061x = 1,022,509,822,540,556.25
  5. Step 5: Solve for x
    x = 1,022,509,822,540,556.25/21,521,061
  6. Step 6: Final answer
    x = 47,512,054.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.