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Finding the Third Proportional to 18,780,771 and 29,852,068.50

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Solution

The third proportional to 18,780,771 and 29,852,068.50 is: 47,449,915.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,780,771 : 29,852,068.50 = 29,852,068.50 : x
  2. Step 2: Convert to fraction form
    18,780,771/29,852,068.50 = 29,852,068.50/x
  3. Step 3: Cross multiply
    18,780,771x = 29,852,068.50 × 29,852,068.50
  4. Step 4: Simplify right side
    18,780,771x = 891,145,993,728,692.25
  5. Step 5: Solve for x
    x = 891,145,993,728,692.25/18,780,771
  6. Step 6: Final answer
    x = 47,449,915.33

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.