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Finding the Third Proportional to 497,312 and 763,144

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Solution

The third proportional to 497,312 and 763,144 is: 1,171,073.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,312 : 763,144 = 763,144 : x
  2. Step 2: Convert to fraction form
    497,312/763,144 = 763,144/x
  3. Step 3: Cross multiply
    497,312x = 763,144 × 763,144
  4. Step 4: Simplify right side
    497,312x = 582,388,764,736
  5. Step 5: Solve for x
    x = 582,388,764,736/497,312
  6. Step 6: Final answer
    x = 1,171,073.22

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.