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Finding the Third Proportional to 481,680 and 740,632.50

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Solution

The third proportional to 481,680 and 740,632.50 is: 1,138,798.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,680 : 740,632.50 = 740,632.50 : x
  2. Step 2: Convert to fraction form
    481,680/740,632.50 = 740,632.50/x
  3. Step 3: Cross multiply
    481,680x = 740,632.50 × 740,632.50
  4. Step 4: Simplify right side
    481,680x = 548,536,500,056.25
  5. Step 5: Solve for x
    x = 548,536,500,056.25/481,680
  6. Step 6: Final answer
    x = 1,138,798.58

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.