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Finding the Third Proportional to 420,172 and 604,013

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Solution

The third proportional to 420,172 and 604,013 is: 868,291.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,172 : 604,013 = 604,013 : x
  2. Step 2: Convert to fraction form
    420,172/604,013 = 604,013/x
  3. Step 3: Cross multiply
    420,172x = 604,013 × 604,013
  4. Step 4: Simplify right side
    420,172x = 364,831,704,169
  5. Step 5: Solve for x
    x = 364,831,704,169/420,172
  6. Step 6: Final answer
    x = 868,291.33

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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.