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Finding the Third Proportional to 309,688.31 and 453,324.09

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Solution

The third proportional to 309,688.31 and 453,324.09 is: 663,579.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,688.31 : 453,324.09 = 453,324.09 : x
  2. Step 2: Convert to fraction form
    309,688.31/453,324.09 = 453,324.09/x
  3. Step 3: Cross multiply
    309,688.31x = 453,324.09 × 453,324.09
  4. Step 4: Simplify right side
    309,688.31x = 205,502,733,974.26
  5. Step 5: Solve for x
    x = 205,502,733,974.26/309,688.31
  6. Step 6: Final answer
    x = 663,579.24

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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.