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Finding the Third Proportional to 415,273.50 and 636,619.50

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Solution

The third proportional to 415,273.50 and 636,619.50 is: 975,945.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,273.50 : 636,619.50 = 636,619.50 : x
  2. Step 2: Convert to fraction form
    415,273.50/636,619.50 = 636,619.50/x
  3. Step 3: Cross multiply
    415,273.50x = 636,619.50 × 636,619.50
  4. Step 4: Simplify right side
    415,273.50x = 405,284,387,780.25
  5. Step 5: Solve for x
    x = 405,284,387,780.25/415,273.50
  6. Step 6: Final answer
    x = 975,945.70

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.