Home / 140,362,947.56-312,999,818.63

Finding the Third Proportional to 140,362,947.56 and 312,999,818.63

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Solution

The third proportional to 140,362,947.56 and 312,999,818.63 is: 697,968,289.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,362,947.56 : 312,999,818.63 = 312,999,818.63 : x
  2. Step 2: Convert to fraction form
    140,362,947.56/312,999,818.63 = 312,999,818.63/x
  3. Step 3: Cross multiply
    140,362,947.56x = 312,999,818.63 × 312,999,818.63
  4. Step 4: Simplify right side
    140,362,947.56x = 97,968,886,459,282,896
  5. Step 5: Solve for x
    x = 97,968,886,459,282,896/140,362,947.56
  6. Step 6: Final answer
    x = 697,968,289.78

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.