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Finding the Third Proportional to 77,532 and 168,240

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Solution

The third proportional to 77,532 and 168,240 is: 365,071.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,532 : 168,240 = 168,240 : x
  2. Step 2: Convert to fraction form
    77,532/168,240 = 168,240/x
  3. Step 3: Cross multiply
    77,532x = 168,240 × 168,240
  4. Step 4: Simplify right side
    77,532x = 28,304,697,600
  5. Step 5: Solve for x
    x = 28,304,697,600/77,532
  6. Step 6: Final answer
    x = 365,071.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.