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Finding the Third Proportional to 307,164 and 458,379

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Solution

The third proportional to 307,164 and 458,379 is: 684,036.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,164 : 458,379 = 458,379 : x
  2. Step 2: Convert to fraction form
    307,164/458,379 = 458,379/x
  3. Step 3: Cross multiply
    307,164x = 458,379 × 458,379
  4. Step 4: Simplify right side
    307,164x = 210,111,307,641
  5. Step 5: Solve for x
    x = 210,111,307,641/307,164
  6. Step 6: Final answer
    x = 684,036.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.