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Finding the Third Proportional to 200,610 and 437,206.50

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Solution

The third proportional to 200,610 and 437,206.50 is: 952,841.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,610 : 437,206.50 = 437,206.50 : x
  2. Step 2: Convert to fraction form
    200,610/437,206.50 = 437,206.50/x
  3. Step 3: Cross multiply
    200,610x = 437,206.50 × 437,206.50
  4. Step 4: Simplify right side
    200,610x = 191,149,523,642.25
  5. Step 5: Solve for x
    x = 191,149,523,642.25/200,610
  6. Step 6: Final answer
    x = 952,841.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.