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Finding the Third Proportional to 343,542.75 and 748,071

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Solution

The third proportional to 343,542.75 and 748,071 is: 1,628,939.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,542.75 : 748,071 = 748,071 : x
  2. Step 2: Convert to fraction form
    343,542.75/748,071 = 748,071/x
  3. Step 3: Cross multiply
    343,542.75x = 748,071 × 748,071
  4. Step 4: Simplify right side
    343,542.75x = 559,610,221,041
  5. Step 5: Solve for x
    x = 559,610,221,041/343,542.75
  6. Step 6: Final answer
    x = 1,628,939.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.