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Finding the Third Proportional to 21,085,155 and 31,852,392.75

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Solution

The third proportional to 21,085,155 and 31,852,392.75 is: 48,117,973.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,085,155 : 31,852,392.75 = 31,852,392.75 : x
  2. Step 2: Convert to fraction form
    21,085,155/31,852,392.75 = 31,852,392.75/x
  3. Step 3: Cross multiply
    21,085,155x = 31,852,392.75 × 31,852,392.75
  4. Step 4: Simplify right side
    21,085,155x = 1,014,574,923,900,252.50
  5. Step 5: Solve for x
    x = 1,014,574,923,900,252.50/21,085,155
  6. Step 6: Final answer
    x = 48,117,973.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.