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Finding the Third Proportional to 420,174 and 604,017

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Solution

The third proportional to 420,174 and 604,017 is: 868,298.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,174 : 604,017 = 604,017 : x
  2. Step 2: Convert to fraction form
    420,174/604,017 = 604,017/x
  3. Step 3: Cross multiply
    420,174x = 604,017 × 604,017
  4. Step 4: Simplify right side
    420,174x = 364,836,536,289
  5. Step 5: Solve for x
    x = 364,836,536,289/420,174
  6. Step 6: Final answer
    x = 868,298.70

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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.