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Finding the Third Proportional to 77,775.19 and 117,376.59

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Solution

The third proportional to 77,775.19 and 117,376.59 is: 177,142.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,775.19 : 117,376.59 = 117,376.59 : x
  2. Step 2: Convert to fraction form
    77,775.19/117,376.59 = 117,376.59/x
  3. Step 3: Cross multiply
    77,775.19x = 117,376.59 × 117,376.59
  4. Step 4: Simplify right side
    77,775.19x = 13,777,264,760.35
  5. Step 5: Solve for x
    x = 13,777,264,760.35/77,775.19
  6. Step 6: Final answer
    x = 177,142.16

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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.