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Finding the Third Proportional to 120,044.25 and 257,584.50

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Solution

The third proportional to 120,044.25 and 257,584.50 is: 552,710.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,044.25 : 257,584.50 = 257,584.50 : x
  2. Step 2: Convert to fraction form
    120,044.25/257,584.50 = 257,584.50/x
  3. Step 3: Cross multiply
    120,044.25x = 257,584.50 × 257,584.50
  4. Step 4: Simplify right side
    120,044.25x = 66,349,774,640.25
  5. Step 5: Solve for x
    x = 66,349,774,640.25/120,044.25
  6. Step 6: Final answer
    x = 552,710.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.