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Finding the Third Proportional to 77,128.88 and 116,515.13

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Solution

The third proportional to 77,128.88 and 116,515.13 is: 176,014.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,128.88 : 116,515.13 = 116,515.13 : x
  2. Step 2: Convert to fraction form
    77,128.88/116,515.13 = 116,515.13/x
  3. Step 3: Cross multiply
    77,128.88x = 116,515.13 × 116,515.13
  4. Step 4: Simplify right side
    77,128.88x = 13,575,774,353.77
  5. Step 5: Solve for x
    x = 13,575,774,353.77/77,128.88
  6. Step 6: Final answer
    x = 176,014.16

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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.