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Finding the Third Proportional to 255,136.50 and 558,750

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Solution

The third proportional to 255,136.50 and 558,750 is: 1,223,664.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,136.50 : 558,750 = 558,750 : x
  2. Step 2: Convert to fraction form
    255,136.50/558,750 = 558,750/x
  3. Step 3: Cross multiply
    255,136.50x = 558,750 × 558,750
  4. Step 4: Simplify right side
    255,136.50x = 312,201,562,500
  5. Step 5: Solve for x
    x = 312,201,562,500/255,136.50
  6. Step 6: Final answer
    x = 1,223,664.83

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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.