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Finding the Third Proportional to 420,182 and 604,028

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Solution

The third proportional to 420,182 and 604,028 is: 868,313.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,182 : 604,028 = 604,028 : x
  2. Step 2: Convert to fraction form
    420,182/604,028 = 604,028/x
  3. Step 3: Cross multiply
    420,182x = 604,028 × 604,028
  4. Step 4: Simplify right side
    420,182x = 364,849,824,784
  5. Step 5: Solve for x
    x = 364,849,824,784/420,182
  6. Step 6: Final answer
    x = 868,313.79

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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.