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Finding the Third Proportional to 65,887 and 144,319

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Solution

The third proportional to 65,887 and 144,319 is: 316,116.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,887 : 144,319 = 144,319 : x
  2. Step 2: Convert to fraction form
    65,887/144,319 = 144,319/x
  3. Step 3: Cross multiply
    65,887x = 144,319 × 144,319
  4. Step 4: Simplify right side
    65,887x = 20,827,973,761
  5. Step 5: Solve for x
    x = 20,827,973,761/65,887
  6. Step 6: Final answer
    x = 316,116.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.