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Finding the Third Proportional to 64,643 and 135,142

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Solution

The third proportional to 64,643 and 135,142 is: 282,526.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,643 : 135,142 = 135,142 : x
  2. Step 2: Convert to fraction form
    64,643/135,142 = 135,142/x
  3. Step 3: Cross multiply
    64,643x = 135,142 × 135,142
  4. Step 4: Simplify right side
    64,643x = 18,263,360,164
  5. Step 5: Solve for x
    x = 18,263,360,164/64,643
  6. Step 6: Final answer
    x = 282,526.49

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.