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Finding the Third Proportional to 343,913 and 458,673

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Solution

The third proportional to 343,913 and 458,673 is: 611,727.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,913 : 458,673 = 458,673 : x
  2. Step 2: Convert to fraction form
    343,913/458,673 = 458,673/x
  3. Step 3: Cross multiply
    343,913x = 458,673 × 458,673
  4. Step 4: Simplify right side
    343,913x = 210,380,920,929
  5. Step 5: Solve for x
    x = 210,380,920,929/343,913
  6. Step 6: Final answer
    x = 611,727.15

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.