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Finding the Third Proportional to 52,140,758 and 78,882,222.50

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Solution

The third proportional to 52,140,758 and 78,882,222.50 is: 119,338,599.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,140,758 : 78,882,222.50 = 78,882,222.50 : x
  2. Step 2: Convert to fraction form
    52,140,758/78,882,222.50 = 78,882,222.50/x
  3. Step 3: Cross multiply
    52,140,758x = 78,882,222.50 × 78,882,222.50
  4. Step 4: Simplify right side
    52,140,758x = 6,222,405,026,539,506
  5. Step 5: Solve for x
    x = 6,222,405,026,539,506/52,140,758
  6. Step 6: Final answer
    x = 119,338,599.31

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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.