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Finding the Third Proportional to 5,134,711.50 and 7,178,280.75

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Solution

The third proportional to 5,134,711.50 and 7,178,280.75 is: 10,035,172.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,134,711.50 : 7,178,280.75 = 7,178,280.75 : x
  2. Step 2: Convert to fraction form
    5,134,711.50/7,178,280.75 = 7,178,280.75/x
  3. Step 3: Cross multiply
    5,134,711.50x = 7,178,280.75 × 7,178,280.75
  4. Step 4: Simplify right side
    5,134,711.50x = 51,527,714,525,820.56
  5. Step 5: Solve for x
    x = 51,527,714,525,820.56/5,134,711.50
  6. Step 6: Final answer
    x = 10,035,172.28

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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.