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Finding the Third Proportional to 213,909.75 and 455,347.50

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Solution

The third proportional to 213,909.75 and 455,347.50 is: 969,293.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,909.75 : 455,347.50 = 455,347.50 : x
  2. Step 2: Convert to fraction form
    213,909.75/455,347.50 = 455,347.50/x
  3. Step 3: Cross multiply
    213,909.75x = 455,347.50 × 455,347.50
  4. Step 4: Simplify right side
    213,909.75x = 207,341,345,756.25
  5. Step 5: Solve for x
    x = 207,341,345,756.25/213,909.75
  6. Step 6: Final answer
    x = 969,293.57

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.