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Finding the Third Proportional to 289,541.25 and 417,699

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Solution

The third proportional to 289,541.25 and 417,699 is: 602,582.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,541.25 : 417,699 = 417,699 : x
  2. Step 2: Convert to fraction form
    289,541.25/417,699 = 417,699/x
  3. Step 3: Cross multiply
    289,541.25x = 417,699 × 417,699
  4. Step 4: Simplify right side
    289,541.25x = 174,472,454,601
  5. Step 5: Solve for x
    x = 174,472,454,601/289,541.25
  6. Step 6: Final answer
    x = 602,582.38

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.