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Finding the Third Proportional to 77,648 and 117,210

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Solution

The third proportional to 77,648 and 117,210 is: 176,929.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,648 : 117,210 = 117,210 : x
  2. Step 2: Convert to fraction form
    77,648/117,210 = 117,210/x
  3. Step 3: Cross multiply
    77,648x = 117,210 × 117,210
  4. Step 4: Simplify right side
    77,648x = 13,738,184,100
  5. Step 5: Solve for x
    x = 13,738,184,100/77,648
  6. Step 6: Final answer
    x = 176,929.01

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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.