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Finding the Third Proportional to 443,354.75 and 687,904.25

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Solution

The third proportional to 443,354.75 and 687,904.25 is: 1,067,344.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,354.75 : 687,904.25 = 687,904.25 : x
  2. Step 2: Convert to fraction form
    443,354.75/687,904.25 = 687,904.25/x
  3. Step 3: Cross multiply
    443,354.75x = 687,904.25 × 687,904.25
  4. Step 4: Simplify right side
    443,354.75x = 473,212,257,168.06
  5. Step 5: Solve for x
    x = 473,212,257,168.06/443,354.75
  6. Step 6: Final answer
    x = 1,067,344.51

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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.