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Finding the Third Proportional to 345,574 and 540,934

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Solution

The third proportional to 345,574 and 540,934 is: 846,734.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,574 : 540,934 = 540,934 : x
  2. Step 2: Convert to fraction form
    345,574/540,934 = 540,934/x
  3. Step 3: Cross multiply
    345,574x = 540,934 × 540,934
  4. Step 4: Simplify right side
    345,574x = 292,609,592,356
  5. Step 5: Solve for x
    x = 292,609,592,356/345,574
  6. Step 6: Final answer
    x = 846,734.98

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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.