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Finding the Third Proportional to 69,386 and 109,765

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Solution

The third proportional to 69,386 and 109,765 is: 173,642.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,386 : 109,765 = 109,765 : x
  2. Step 2: Convert to fraction form
    69,386/109,765 = 109,765/x
  3. Step 3: Cross multiply
    69,386x = 109,765 × 109,765
  4. Step 4: Simplify right side
    69,386x = 12,048,355,225
  5. Step 5: Solve for x
    x = 12,048,355,225/69,386
  6. Step 6: Final answer
    x = 173,642.45

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.