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Finding the Third Proportional to 320,841 and 448,582.50

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Solution

The third proportional to 320,841 and 448,582.50 is: 627,183.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,841 : 448,582.50 = 448,582.50 : x
  2. Step 2: Convert to fraction form
    320,841/448,582.50 = 448,582.50/x
  3. Step 3: Cross multiply
    320,841x = 448,582.50 × 448,582.50
  4. Step 4: Simplify right side
    320,841x = 201,226,259,306.25
  5. Step 5: Solve for x
    x = 201,226,259,306.25/320,841
  6. Step 6: Final answer
    x = 627,183.74

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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.