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Finding the Third Proportional to 30,076 and 65,278

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Solution

The third proportional to 30,076 and 65,278 is: 141,681.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,076 : 65,278 = 65,278 : x
  2. Step 2: Convert to fraction form
    30,076/65,278 = 65,278/x
  3. Step 3: Cross multiply
    30,076x = 65,278 × 65,278
  4. Step 4: Simplify right side
    30,076x = 4,261,217,284
  5. Step 5: Solve for x
    x = 4,261,217,284/30,076
  6. Step 6: Final answer
    x = 141,681.65

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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.