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Finding the Third Proportional to 65,421 and 141,304.50

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Solution

The third proportional to 65,421 and 141,304.50 is: 305,207.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,421 : 141,304.50 = 141,304.50 : x
  2. Step 2: Convert to fraction form
    65,421/141,304.50 = 141,304.50/x
  3. Step 3: Cross multiply
    65,421x = 141,304.50 × 141,304.50
  4. Step 4: Simplify right side
    65,421x = 19,966,961,720.25
  5. Step 5: Solve for x
    x = 19,966,961,720.25/65,421
  6. Step 6: Final answer
    x = 305,207.22

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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.