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Finding the Third Proportional to 78,240 and 168,924

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Solution

The third proportional to 78,240 and 168,924 is: 364,715.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,240 : 168,924 = 168,924 : x
  2. Step 2: Convert to fraction form
    78,240/168,924 = 168,924/x
  3. Step 3: Cross multiply
    78,240x = 168,924 × 168,924
  4. Step 4: Simplify right side
    78,240x = 28,535,317,776
  5. Step 5: Solve for x
    x = 28,535,317,776/78,240
  6. Step 6: Final answer
    x = 364,715.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.