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Finding the Third Proportional to 446,403 and 625,732.50

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Solution

The third proportional to 446,403 and 625,732.50 is: 877,102.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,403 : 625,732.50 = 625,732.50 : x
  2. Step 2: Convert to fraction form
    446,403/625,732.50 = 625,732.50/x
  3. Step 3: Cross multiply
    446,403x = 625,732.50 × 625,732.50
  4. Step 4: Simplify right side
    446,403x = 391,541,161,556.25
  5. Step 5: Solve for x
    x = 391,541,161,556.25/446,403
  6. Step 6: Final answer
    x = 877,102.44

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.