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Finding the Third Proportional to 78,780 and 168,633

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Solution

The third proportional to 78,780 and 168,633 is: 360,968.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,780 : 168,633 = 168,633 : x
  2. Step 2: Convert to fraction form
    78,780/168,633 = 168,633/x
  3. Step 3: Cross multiply
    78,780x = 168,633 × 168,633
  4. Step 4: Simplify right side
    78,780x = 28,437,088,689
  5. Step 5: Solve for x
    x = 28,437,088,689/78,780
  6. Step 6: Final answer
    x = 360,968.38

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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.