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Finding the Third Proportional to 342,390 and 514,620

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Solution

The third proportional to 342,390 and 514,620 is: 773,485.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,390 : 514,620 = 514,620 : x
  2. Step 2: Convert to fraction form
    342,390/514,620 = 514,620/x
  3. Step 3: Cross multiply
    342,390x = 514,620 × 514,620
  4. Step 4: Simplify right side
    342,390x = 264,833,744,400
  5. Step 5: Solve for x
    x = 264,833,744,400/342,390
  6. Step 6: Final answer
    x = 773,485.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.