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Finding the Third Proportional to 922,188,345 and 1,976,174,056.50

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Solution

The third proportional to 922,188,345 and 1,976,174,056.50 is: 4,234,779,069.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    922,188,345 : 1,976,174,056.50 = 1,976,174,056.50 : x
  2. Step 2: Convert to fraction form
    922,188,345/1,976,174,056.50 = 1,976,174,056.50/x
  3. Step 3: Cross multiply
    922,188,345x = 1,976,174,056.50 × 1,976,174,056.50
  4. Step 4: Simplify right side
    922,188,345x = 3,905,263,901,583,665,152
  5. Step 5: Solve for x
    x = 3,905,263,901,583,665,152/922,188,345
  6. Step 6: Final answer
    x = 4,234,779,069.54

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.