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Finding the Third Proportional to 327,457 and 715,788

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Solution

The third proportional to 327,457 and 715,788 is: 1,564,640.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,457 : 715,788 = 715,788 : x
  2. Step 2: Convert to fraction form
    327,457/715,788 = 715,788/x
  3. Step 3: Cross multiply
    327,457x = 715,788 × 715,788
  4. Step 4: Simplify right side
    327,457x = 512,352,460,944
  5. Step 5: Solve for x
    x = 512,352,460,944/327,457
  6. Step 6: Final answer
    x = 1,564,640.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.