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Finding the Third Proportional to 77,712 and 117,175.50

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Solution

The third proportional to 77,712 and 117,175.50 is: 176,679.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,712 : 117,175.50 = 117,175.50 : x
  2. Step 2: Convert to fraction form
    77,712/117,175.50 = 117,175.50/x
  3. Step 3: Cross multiply
    77,712x = 117,175.50 × 117,175.50
  4. Step 4: Simplify right side
    77,712x = 13,730,097,800.25
  5. Step 5: Solve for x
    x = 13,730,097,800.25/77,712
  6. Step 6: Final answer
    x = 176,679.25

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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.