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Finding the Third Proportional to 318,420 and 432,673

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Solution

The third proportional to 318,420 and 432,673 is: 587,921.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,420 : 432,673 = 432,673 : x
  2. Step 2: Convert to fraction form
    318,420/432,673 = 432,673/x
  3. Step 3: Cross multiply
    318,420x = 432,673 × 432,673
  4. Step 4: Simplify right side
    318,420x = 187,205,924,929
  5. Step 5: Solve for x
    x = 187,205,924,929/318,420
  6. Step 6: Final answer
    x = 587,921.38

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.