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Finding the Third Proportional to 326,178 and 718,578

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Solution

The third proportional to 326,178 and 718,578 is: 1,583,044.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,178 : 718,578 = 718,578 : x
  2. Step 2: Convert to fraction form
    326,178/718,578 = 718,578/x
  3. Step 3: Cross multiply
    326,178x = 718,578 × 718,578
  4. Step 4: Simplify right side
    326,178x = 516,354,342,084
  5. Step 5: Solve for x
    x = 516,354,342,084/326,178
  6. Step 6: Final answer
    x = 1,583,044.66

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.