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Finding the Third Proportional to 320,742.91 and 448,418.29

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Solution

The third proportional to 320,742.91 and 448,418.29 is: 626,916.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,742.91 : 448,418.29 = 448,418.29 : x
  2. Step 2: Convert to fraction form
    320,742.91/448,418.29 = 448,418.29/x
  3. Step 3: Cross multiply
    320,742.91x = 448,418.29 × 448,418.29
  4. Step 4: Simplify right side
    320,742.91x = 201,078,966,344.82
  5. Step 5: Solve for x
    x = 201,078,966,344.82/320,742.91
  6. Step 6: Final answer
    x = 626,916.32

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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.