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Finding the Third Proportional to 545,814 and 851,931

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Solution

The third proportional to 545,814 and 851,931 is: 1,329,732.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,814 : 851,931 = 851,931 : x
  2. Step 2: Convert to fraction form
    545,814/851,931 = 851,931/x
  3. Step 3: Cross multiply
    545,814x = 851,931 × 851,931
  4. Step 4: Simplify right side
    545,814x = 725,786,428,761
  5. Step 5: Solve for x
    x = 725,786,428,761/545,814
  6. Step 6: Final answer
    x = 1,329,732.16

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.