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Finding the Third Proportional to 309,642.75 and 436,045.50

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Solution

The third proportional to 309,642.75 and 436,045.50 is: 614,048.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,642.75 : 436,045.50 = 436,045.50 : x
  2. Step 2: Convert to fraction form
    309,642.75/436,045.50 = 436,045.50/x
  3. Step 3: Cross multiply
    309,642.75x = 436,045.50 × 436,045.50
  4. Step 4: Simplify right side
    309,642.75x = 190,135,678,070.25
  5. Step 5: Solve for x
    x = 190,135,678,070.25/309,642.75
  6. Step 6: Final answer
    x = 614,048.54

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.