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Finding the Third Proportional to 385,831.69 and 550,371.94

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Solution

The third proportional to 385,831.69 and 550,371.94 is: 785,081.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,831.69 : 550,371.94 = 550,371.94 : x
  2. Step 2: Convert to fraction form
    385,831.69/550,371.94 = 550,371.94/x
  3. Step 3: Cross multiply
    385,831.69x = 550,371.94 × 550,371.94
  4. Step 4: Simplify right side
    385,831.69x = 302,909,269,587.50
  5. Step 5: Solve for x
    x = 302,909,269,587.50/385,831.69
  6. Step 6: Final answer
    x = 785,081.37

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.