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Finding the Third Proportional to 309,664.69 and 452,545.88

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Solution

The third proportional to 309,664.69 and 452,545.88 is: 661,353.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,664.69 : 452,545.88 = 452,545.88 : x
  2. Step 2: Convert to fraction form
    309,664.69/452,545.88 = 452,545.88/x
  3. Step 3: Cross multiply
    309,664.69x = 452,545.88 × 452,545.88
  4. Step 4: Simplify right side
    309,664.69x = 204,797,768,979.52
  5. Step 5: Solve for x
    x = 204,797,768,979.52/309,664.69
  6. Step 6: Final answer
    x = 661,353.32

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.