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Finding the Third Proportional to 78,447 and 124,664

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Solution

The third proportional to 78,447 and 124,664 is: 198,109.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,447 : 124,664 = 124,664 : x
  2. Step 2: Convert to fraction form
    78,447/124,664 = 124,664/x
  3. Step 3: Cross multiply
    78,447x = 124,664 × 124,664
  4. Step 4: Simplify right side
    78,447x = 15,541,112,896
  5. Step 5: Solve for x
    x = 15,541,112,896/78,447
  6. Step 6: Final answer
    x = 198,109.72

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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.