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Finding the Third Proportional to 443,135.25 and 687,462.75

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Solution

The third proportional to 443,135.25 and 687,462.75 is: 1,066,502.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,135.25 : 687,462.75 = 687,462.75 : x
  2. Step 2: Convert to fraction form
    443,135.25/687,462.75 = 687,462.75/x
  3. Step 3: Cross multiply
    443,135.25x = 687,462.75 × 687,462.75
  4. Step 4: Simplify right side
    443,135.25x = 472,605,032,637.56
  5. Step 5: Solve for x
    x = 472,605,032,637.56/443,135.25
  6. Step 6: Final answer
    x = 1,066,502.91

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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.