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Finding the Third Proportional to 76,115 and 163,570

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Solution

The third proportional to 76,115 and 163,570 is: 351,509.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,115 : 163,570 = 163,570 : x
  2. Step 2: Convert to fraction form
    76,115/163,570 = 163,570/x
  3. Step 3: Cross multiply
    76,115x = 163,570 × 163,570
  4. Step 4: Simplify right side
    76,115x = 26,755,144,900
  5. Step 5: Solve for x
    x = 26,755,144,900/76,115
  6. Step 6: Final answer
    x = 351,509.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.