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Finding the Third Proportional to 442,953.56 and 687,188.81

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Solution

The third proportional to 442,953.56 and 687,188.81 is: 1,066,090.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,953.56 : 687,188.81 = 687,188.81 : x
  2. Step 2: Convert to fraction form
    442,953.56/687,188.81 = 687,188.81/x
  3. Step 3: Cross multiply
    442,953.56x = 687,188.81 × 687,188.81
  4. Step 4: Simplify right side
    442,953.56x = 472,228,464,025.16
  5. Step 5: Solve for x
    x = 472,228,464,025.16/442,953.56
  6. Step 6: Final answer
    x = 1,066,090.23

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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.