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Finding the Third Proportional to 65,454 and 136,740

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Solution

The third proportional to 65,454 and 136,740 is: 285,663.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,454 : 136,740 = 136,740 : x
  2. Step 2: Convert to fraction form
    65,454/136,740 = 136,740/x
  3. Step 3: Cross multiply
    65,454x = 136,740 × 136,740
  4. Step 4: Simplify right side
    65,454x = 18,697,827,600
  5. Step 5: Solve for x
    x = 18,697,827,600/65,454
  6. Step 6: Final answer
    x = 285,663.64

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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.