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Finding the Third Proportional to 358,816.50 and 487,518.75

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Solution

The third proportional to 358,816.50 and 487,518.75 is: 662,384.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,816.50 : 487,518.75 = 487,518.75 : x
  2. Step 2: Convert to fraction form
    358,816.50/487,518.75 = 487,518.75/x
  3. Step 3: Cross multiply
    358,816.50x = 487,518.75 × 487,518.75
  4. Step 4: Simplify right side
    358,816.50x = 237,674,531,601.56
  5. Step 5: Solve for x
    x = 237,674,531,601.56/358,816.50
  6. Step 6: Final answer
    x = 662,384.62

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.