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Finding the Third Proportional to 398,831.34 and 598,536.84

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Solution

The third proportional to 398,831.34 and 598,536.84 is: 898,240.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,831.34 : 598,536.84 = 598,536.84 : x
  2. Step 2: Convert to fraction form
    398,831.34/598,536.84 = 598,536.84/x
  3. Step 3: Cross multiply
    398,831.34x = 598,536.84 × 598,536.84
  4. Step 4: Simplify right side
    398,831.34x = 358,246,353,326.21
  5. Step 5: Solve for x
    x = 358,246,353,326.21/398,831.34
  6. Step 6: Final answer
    x = 898,240.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.