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Finding the Third Proportional to 420,172 and 604,014

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Solution

The third proportional to 420,172 and 604,014 is: 868,294.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,172 : 604,014 = 604,014 : x
  2. Step 2: Convert to fraction form
    420,172/604,014 = 604,014/x
  3. Step 3: Cross multiply
    420,172x = 604,014 × 604,014
  4. Step 4: Simplify right side
    420,172x = 364,832,912,196
  5. Step 5: Solve for x
    x = 364,832,912,196/420,172
  6. Step 6: Final answer
    x = 868,294.20

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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.