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Finding the Third Proportional to 65,407 and 136,735

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Solution

The third proportional to 65,407 and 136,735 is: 285,848.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,407 : 136,735 = 136,735 : x
  2. Step 2: Convert to fraction form
    65,407/136,735 = 136,735/x
  3. Step 3: Cross multiply
    65,407x = 136,735 × 136,735
  4. Step 4: Simplify right side
    65,407x = 18,696,460,225
  5. Step 5: Solve for x
    x = 18,696,460,225/65,407
  6. Step 6: Final answer
    x = 285,848.00

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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.