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Finding the Third Proportional to 309,624.75 and 473,670

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Solution

The third proportional to 309,624.75 and 473,670 is: 724,629.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,624.75 : 473,670 = 473,670 : x
  2. Step 2: Convert to fraction form
    309,624.75/473,670 = 473,670/x
  3. Step 3: Cross multiply
    309,624.75x = 473,670 × 473,670
  4. Step 4: Simplify right side
    309,624.75x = 224,363,268,900
  5. Step 5: Solve for x
    x = 224,363,268,900/309,624.75
  6. Step 6: Final answer
    x = 724,629.63

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.