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Finding the Third Proportional to 345,578 and 540,940

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Solution

The third proportional to 345,578 and 540,940 is: 846,743.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,578 : 540,940 = 540,940 : x
  2. Step 2: Convert to fraction form
    345,578/540,940 = 540,940/x
  3. Step 3: Cross multiply
    345,578x = 540,940 × 540,940
  4. Step 4: Simplify right side
    345,578x = 292,616,083,600
  5. Step 5: Solve for x
    x = 292,616,083,600/345,578
  6. Step 6: Final answer
    x = 846,743.96

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.