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Finding the Third Proportional to 308,589.75 and 480,927.38

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Solution

The third proportional to 308,589.75 and 480,927.38 is: 749,510.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,589.75 : 480,927.38 = 480,927.38 : x
  2. Step 2: Convert to fraction form
    308,589.75/480,927.38 = 480,927.38/x
  3. Step 3: Cross multiply
    308,589.75x = 480,927.38 × 480,927.38
  4. Step 4: Simplify right side
    308,589.75x = 231,291,140,024.39
  5. Step 5: Solve for x
    x = 231,291,140,024.39/308,589.75
  6. Step 6: Final answer
    x = 749,510.12

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.