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Finding the Third Proportional to 20,657,322 and 31,874,734.50

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Solution

The third proportional to 20,657,322 and 31,874,734.50 is: 49,183,466.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,657,322 : 31,874,734.50 = 31,874,734.50 : x
  2. Step 2: Convert to fraction form
    20,657,322/31,874,734.50 = 31,874,734.50/x
  3. Step 3: Cross multiply
    20,657,322x = 31,874,734.50 × 31,874,734.50
  4. Step 4: Simplify right side
    20,657,322x = 1,015,998,699,445,490.25
  5. Step 5: Solve for x
    x = 1,015,998,699,445,490.25/20,657,322
  6. Step 6: Final answer
    x = 49,183,466.25

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.