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Finding the Third Proportional to 77,128 and 116,664

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Solution

The third proportional to 77,128 and 116,664 is: 176,466.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,128 : 116,664 = 116,664 : x
  2. Step 2: Convert to fraction form
    77,128/116,664 = 116,664/x
  3. Step 3: Cross multiply
    77,128x = 116,664 × 116,664
  4. Step 4: Simplify right side
    77,128x = 13,610,488,896
  5. Step 5: Solve for x
    x = 13,610,488,896/77,128
  6. Step 6: Final answer
    x = 176,466.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.