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Finding the Third Proportional to 309,784.50 and 452,784.75

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Solution

The third proportional to 309,784.50 and 452,784.75 is: 661,795.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,784.50 : 452,784.75 = 452,784.75 : x
  2. Step 2: Convert to fraction form
    309,784.50/452,784.75 = 452,784.75/x
  3. Step 3: Cross multiply
    309,784.50x = 452,784.75 × 452,784.75
  4. Step 4: Simplify right side
    309,784.50x = 205,014,029,832.56
  5. Step 5: Solve for x
    x = 205,014,029,832.56/309,784.50
  6. Step 6: Final answer
    x = 661,795.63

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.