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Finding the Third Proportional to 20,954,300 and 31,509,432

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Solution

The third proportional to 20,954,300 and 31,509,432 is: 47,381,411.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,954,300 : 31,509,432 = 31,509,432 : x
  2. Step 2: Convert to fraction form
    20,954,300/31,509,432 = 31,509,432/x
  3. Step 3: Cross multiply
    20,954,300x = 31,509,432 × 31,509,432
  4. Step 4: Simplify right side
    20,954,300x = 992,844,304,962,624
  5. Step 5: Solve for x
    x = 992,844,304,962,624/20,954,300
  6. Step 6: Final answer
    x = 47,381,411.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.