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Finding the Third Proportional to 307,831.50 and 488,718

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Solution

The third proportional to 307,831.50 and 488,718 is: 775,896.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,831.50 : 488,718 = 488,718 : x
  2. Step 2: Convert to fraction form
    307,831.50/488,718 = 488,718/x
  3. Step 3: Cross multiply
    307,831.50x = 488,718 × 488,718
  4. Step 4: Simplify right side
    307,831.50x = 238,845,283,524
  5. Step 5: Solve for x
    x = 238,845,283,524/307,831.50
  6. Step 6: Final answer
    x = 775,896.18

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.