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Finding the Third Proportional to 20,123,994 and 31,381,731.50

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Solution

The third proportional to 20,123,994 and 31,381,731.50 is: 48,937,257.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,123,994 : 31,381,731.50 = 31,381,731.50 : x
  2. Step 2: Convert to fraction form
    20,123,994/31,381,731.50 = 31,381,731.50/x
  3. Step 3: Cross multiply
    20,123,994x = 31,381,731.50 × 31,381,731.50
  4. Step 4: Simplify right side
    20,123,994x = 984,813,071,938,092.25
  5. Step 5: Solve for x
    x = 984,813,071,938,092.25/20,123,994
  6. Step 6: Final answer
    x = 48,937,257.28

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.