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Finding the Third Proportional to 188,643 and 282,965

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Solution

The third proportional to 188,643 and 282,965 is: 424,448.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,643 : 282,965 = 282,965 : x
  2. Step 2: Convert to fraction form
    188,643/282,965 = 282,965/x
  3. Step 3: Cross multiply
    188,643x = 282,965 × 282,965
  4. Step 4: Simplify right side
    188,643x = 80,069,191,225
  5. Step 5: Solve for x
    x = 80,069,191,225/188,643
  6. Step 6: Final answer
    x = 424,448.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.