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Finding the Third Proportional to 78,783 and 168,639

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Solution

The third proportional to 78,783 and 168,639 is: 360,980.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,783 : 168,639 = 168,639 : x
  2. Step 2: Convert to fraction form
    78,783/168,639 = 168,639/x
  3. Step 3: Cross multiply
    78,783x = 168,639 × 168,639
  4. Step 4: Simplify right side
    78,783x = 28,439,112,321
  5. Step 5: Solve for x
    x = 28,439,112,321/78,783
  6. Step 6: Final answer
    x = 360,980.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.