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Finding the Third Proportional to 65,486.13 and 136,738.76

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Solution

The third proportional to 65,486.13 and 136,738.76 is: 285,518.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,486.13 : 136,738.76 = 136,738.76 : x
  2. Step 2: Convert to fraction form
    65,486.13/136,738.76 = 136,738.76/x
  3. Step 3: Cross multiply
    65,486.13x = 136,738.76 × 136,738.76
  4. Step 4: Simplify right side
    65,486.13x = 18,697,487,888.11
  5. Step 5: Solve for x
    x = 18,697,487,888.11/65,486.13
  6. Step 6: Final answer
    x = 285,518.30

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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.