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Finding the Third Proportional to 415,239 and 641,260.50

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Solution

The third proportional to 415,239 and 641,260.50 is: 990,309.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,239 : 641,260.50 = 641,260.50 : x
  2. Step 2: Convert to fraction form
    415,239/641,260.50 = 641,260.50/x
  3. Step 3: Cross multiply
    415,239x = 641,260.50 × 641,260.50
  4. Step 4: Simplify right side
    415,239x = 411,215,028,860.25
  5. Step 5: Solve for x
    x = 411,215,028,860.25/415,239
  6. Step 6: Final answer
    x = 990,309.26

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.