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Finding the Third Proportional to 307,172 and 458,391

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Solution

The third proportional to 307,172 and 458,391 is: 684,054.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,172 : 458,391 = 458,391 : x
  2. Step 2: Convert to fraction form
    307,172/458,391 = 458,391/x
  3. Step 3: Cross multiply
    307,172x = 458,391 × 458,391
  4. Step 4: Simplify right side
    307,172x = 210,122,308,881
  5. Step 5: Solve for x
    x = 210,122,308,881/307,172
  6. Step 6: Final answer
    x = 684,054.24

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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.