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Finding the Third Proportional to 316,476 and 452,238.75

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Solution

The third proportional to 316,476 and 452,238.75 is: 646,241.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,476 : 452,238.75 = 452,238.75 : x
  2. Step 2: Convert to fraction form
    316,476/452,238.75 = 452,238.75/x
  3. Step 3: Cross multiply
    316,476x = 452,238.75 × 452,238.75
  4. Step 4: Simplify right side
    316,476x = 204,519,887,001.56
  5. Step 5: Solve for x
    x = 204,519,887,001.56/316,476
  6. Step 6: Final answer
    x = 646,241.38

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.