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Finding the Third Proportional to 77,670 and 112,737

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Solution

The third proportional to 77,670 and 112,737 is: 163,636.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,670 : 112,737 = 112,737 : x
  2. Step 2: Convert to fraction form
    77,670/112,737 = 112,737/x
  3. Step 3: Cross multiply
    77,670x = 112,737 × 112,737
  4. Step 4: Simplify right side
    77,670x = 12,709,631,169
  5. Step 5: Solve for x
    x = 12,709,631,169/77,670
  6. Step 6: Final answer
    x = 163,636.30

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.