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Finding the Third Proportional to 65,485 and 141,403

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Solution

The third proportional to 65,485 and 141,403 is: 305,334.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,485 : 141,403 = 141,403 : x
  2. Step 2: Convert to fraction form
    65,485/141,403 = 141,403/x
  3. Step 3: Cross multiply
    65,485x = 141,403 × 141,403
  4. Step 4: Simplify right side
    65,485x = 19,994,808,409
  5. Step 5: Solve for x
    x = 19,994,808,409/65,485
  6. Step 6: Final answer
    x = 305,334.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.