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Finding the Third Proportional to 342,716 and 512,056

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Solution

The third proportional to 342,716 and 512,056 is: 765,068.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,716 : 512,056 = 512,056 : x
  2. Step 2: Convert to fraction form
    342,716/512,056 = 512,056/x
  3. Step 3: Cross multiply
    342,716x = 512,056 × 512,056
  4. Step 4: Simplify right side
    342,716x = 262,201,347,136
  5. Step 5: Solve for x
    x = 262,201,347,136/342,716
  6. Step 6: Final answer
    x = 765,068.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.