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Finding the Third Proportional to 443,348.25 and 687,893.63

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Solution

The third proportional to 443,348.25 and 687,893.63 is: 1,067,327.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,348.25 : 687,893.63 = 687,893.63 : x
  2. Step 2: Convert to fraction form
    443,348.25/687,893.63 = 687,893.63/x
  3. Step 3: Cross multiply
    443,348.25x = 687,893.63 × 687,893.63
  4. Step 4: Simplify right side
    443,348.25x = 473,197,639,315.64
  5. Step 5: Solve for x
    x = 473,197,639,315.64/443,348.25
  6. Step 6: Final answer
    x = 1,067,327.18

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.