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Finding the Third Proportional to 205,533 and 307,459.50

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Solution

The third proportional to 205,533 and 307,459.50 is: 459,932.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,533 : 307,459.50 = 307,459.50 : x
  2. Step 2: Convert to fraction form
    205,533/307,459.50 = 307,459.50/x
  3. Step 3: Cross multiply
    205,533x = 307,459.50 × 307,459.50
  4. Step 4: Simplify right side
    205,533x = 94,531,344,140.25
  5. Step 5: Solve for x
    x = 94,531,344,140.25/205,533
  6. Step 6: Final answer
    x = 459,932.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.