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Finding the Third Proportional to 342,389 and 514,619

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Solution

The third proportional to 342,389 and 514,619 is: 773,484.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,389 : 514,619 = 514,619 : x
  2. Step 2: Convert to fraction form
    342,389/514,619 = 514,619/x
  3. Step 3: Cross multiply
    342,389x = 514,619 × 514,619
  4. Step 4: Simplify right side
    342,389x = 264,832,715,161
  5. Step 5: Solve for x
    x = 264,832,715,161/342,389
  6. Step 6: Final answer
    x = 773,484.88

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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.