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Finding the Third Proportional to 30,543,500.25 and 42,724,327.50

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Solution

The third proportional to 30,543,500.25 and 42,724,327.50 is: 59,762,900.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,543,500.25 : 42,724,327.50 = 42,724,327.50 : x
  2. Step 2: Convert to fraction form
    30,543,500.25/42,724,327.50 = 42,724,327.50/x
  3. Step 3: Cross multiply
    30,543,500.25x = 42,724,327.50 × 42,724,327.50
  4. Step 4: Simplify right side
    30,543,500.25x = 1,825,368,160,327,256.25
  5. Step 5: Solve for x
    x = 1,825,368,160,327,256.25/30,543,500.25
  6. Step 6: Final answer
    x = 59,762,900.30

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.