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Finding the Third Proportional to 345,567 and 540,911

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Solution

The third proportional to 345,567 and 540,911 is: 846,680.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,567 : 540,911 = 540,911 : x
  2. Step 2: Convert to fraction form
    345,567/540,911 = 540,911/x
  3. Step 3: Cross multiply
    345,567x = 540,911 × 540,911
  4. Step 4: Simplify right side
    345,567x = 292,584,709,921
  5. Step 5: Solve for x
    x = 292,584,709,921/345,567
  6. Step 6: Final answer
    x = 846,680.12

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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.