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Finding the Third Proportional to 61,461 and 130,120.50

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Solution

The third proportional to 61,461 and 130,120.50 is: 275,481.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,461 : 130,120.50 = 130,120.50 : x
  2. Step 2: Convert to fraction form
    61,461/130,120.50 = 130,120.50/x
  3. Step 3: Cross multiply
    61,461x = 130,120.50 × 130,120.50
  4. Step 4: Simplify right side
    61,461x = 16,931,344,520.25
  5. Step 5: Solve for x
    x = 16,931,344,520.25/61,461
  6. Step 6: Final answer
    x = 275,481.11

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.