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Finding the Third Proportional to 285,668 and 545,416

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Solution

The third proportional to 285,668 and 545,416 is: 1,041,343.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,668 : 545,416 = 545,416 : x
  2. Step 2: Convert to fraction form
    285,668/545,416 = 545,416/x
  3. Step 3: Cross multiply
    285,668x = 545,416 × 545,416
  4. Step 4: Simplify right side
    285,668x = 297,478,613,056
  5. Step 5: Solve for x
    x = 297,478,613,056/285,668
  6. Step 6: Final answer
    x = 1,041,343.84

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.