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Finding the Third Proportional to 61,590 and 130,956

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Solution

The third proportional to 61,590 and 130,956 is: 278,445.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,590 : 130,956 = 130,956 : x
  2. Step 2: Convert to fraction form
    61,590/130,956 = 130,956/x
  3. Step 3: Cross multiply
    61,590x = 130,956 × 130,956
  4. Step 4: Simplify right side
    61,590x = 17,149,473,936
  5. Step 5: Solve for x
    x = 17,149,473,936/61,590
  6. Step 6: Final answer
    x = 278,445.75

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.