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Finding the Third Proportional to 128,224.50 and 279,024.50

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Solution

The third proportional to 128,224.50 and 279,024.50 is: 607,174.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,224.50 : 279,024.50 = 279,024.50 : x
  2. Step 2: Convert to fraction form
    128,224.50/279,024.50 = 279,024.50/x
  3. Step 3: Cross multiply
    128,224.50x = 279,024.50 × 279,024.50
  4. Step 4: Simplify right side
    128,224.50x = 77,854,671,600.25
  5. Step 5: Solve for x
    x = 77,854,671,600.25/128,224.50
  6. Step 6: Final answer
    x = 607,174.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.