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Finding the Third Proportional to 42,405,738 and 92,320,471.50

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Solution

The third proportional to 42,405,738 and 92,320,471.50 is: 200,988,589.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,405,738 : 92,320,471.50 = 92,320,471.50 : x
  2. Step 2: Convert to fraction form
    42,405,738/92,320,471.50 = 92,320,471.50/x
  3. Step 3: Cross multiply
    42,405,738x = 92,320,471.50 × 92,320,471.50
  4. Step 4: Simplify right side
    42,405,738x = 8,523,069,457,982,312
  5. Step 5: Solve for x
    x = 8,523,069,457,982,312/42,405,738
  6. Step 6: Final answer
    x = 200,988,589.28

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.