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Finding the Third Proportional to 30,142 and 65,301

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Solution

The third proportional to 30,142 and 65,301 is: 141,471.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,142 : 65,301 = 65,301 : x
  2. Step 2: Convert to fraction form
    30,142/65,301 = 65,301/x
  3. Step 3: Cross multiply
    30,142x = 65,301 × 65,301
  4. Step 4: Simplify right side
    30,142x = 4,264,220,601
  5. Step 5: Solve for x
    x = 4,264,220,601/30,142
  6. Step 6: Final answer
    x = 141,471.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.