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Finding the Third Proportional to 255,029.50 and 393,516

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Solution

The third proportional to 255,029.50 and 393,516 is: 607,203.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,029.50 : 393,516 = 393,516 : x
  2. Step 2: Convert to fraction form
    255,029.50/393,516 = 393,516/x
  3. Step 3: Cross multiply
    255,029.50x = 393,516 × 393,516
  4. Step 4: Simplify right side
    255,029.50x = 154,854,842,256
  5. Step 5: Solve for x
    x = 154,854,842,256/255,029.50
  6. Step 6: Final answer
    x = 607,203.65

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.