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Finding the Third Proportional to 21,053,810 and 31,736,235

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Solution

The third proportional to 21,053,810 and 31,736,235 is: 47,838,781.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,053,810 : 31,736,235 = 31,736,235 : x
  2. Step 2: Convert to fraction form
    21,053,810/31,736,235 = 31,736,235/x
  3. Step 3: Cross multiply
    21,053,810x = 31,736,235 × 31,736,235
  4. Step 4: Simplify right side
    21,053,810x = 1,007,188,611,975,225
  5. Step 5: Solve for x
    x = 1,007,188,611,975,225/21,053,810
  6. Step 6: Final answer
    x = 47,838,781.29

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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.