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Finding the Third Proportional to 64,875 and 140,409

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Solution

The third proportional to 64,875 and 140,409 is: 303,887.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,875 : 140,409 = 140,409 : x
  2. Step 2: Convert to fraction form
    64,875/140,409 = 140,409/x
  3. Step 3: Cross multiply
    64,875x = 140,409 × 140,409
  4. Step 4: Simplify right side
    64,875x = 19,714,687,281
  5. Step 5: Solve for x
    x = 19,714,687,281/64,875
  6. Step 6: Final answer
    x = 303,887.28

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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.