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Finding the Third Proportional to 301,356 and 455,917.50

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Solution

The third proportional to 301,356 and 455,917.50 is: 689,751.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,356 : 455,917.50 = 455,917.50 : x
  2. Step 2: Convert to fraction form
    301,356/455,917.50 = 455,917.50/x
  3. Step 3: Cross multiply
    301,356x = 455,917.50 × 455,917.50
  4. Step 4: Simplify right side
    301,356x = 207,860,766,806.25
  5. Step 5: Solve for x
    x = 207,860,766,806.25/301,356
  6. Step 6: Final answer
    x = 689,751.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.