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Finding the Third Proportional to 348,462 and 512,487

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Solution

The third proportional to 348,462 and 512,487 is: 753,720.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,462 : 512,487 = 512,487 : x
  2. Step 2: Convert to fraction form
    348,462/512,487 = 512,487/x
  3. Step 3: Cross multiply
    348,462x = 512,487 × 512,487
  4. Step 4: Simplify right side
    348,462x = 262,642,925,169
  5. Step 5: Solve for x
    x = 262,642,925,169/348,462
  6. Step 6: Final answer
    x = 753,720.42

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.