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Finding the Third Proportional to 78,765 and 172,842

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Solution

The third proportional to 78,765 and 172,842 is: 379,284.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,765 : 172,842 = 172,842 : x
  2. Step 2: Convert to fraction form
    78,765/172,842 = 172,842/x
  3. Step 3: Cross multiply
    78,765x = 172,842 × 172,842
  4. Step 4: Simplify right side
    78,765x = 29,874,356,964
  5. Step 5: Solve for x
    x = 29,874,356,964/78,765
  6. Step 6: Final answer
    x = 379,284.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.