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Finding the Third Proportional to 61,390 and 134,491

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Solution

The third proportional to 61,390 and 134,491 is: 294,638.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,390 : 134,491 = 134,491 : x
  2. Step 2: Convert to fraction form
    61,390/134,491 = 134,491/x
  3. Step 3: Cross multiply
    61,390x = 134,491 × 134,491
  4. Step 4: Simplify right side
    61,390x = 18,087,829,081
  5. Step 5: Solve for x
    x = 18,087,829,081/61,390
  6. Step 6: Final answer
    x = 294,638.04

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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.