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Finding the Third Proportional to 420,169 and 604,010

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Solution

The third proportional to 420,169 and 604,010 is: 868,288.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,169 : 604,010 = 604,010 : x
  2. Step 2: Convert to fraction form
    420,169/604,010 = 604,010/x
  3. Step 3: Cross multiply
    420,169x = 604,010 × 604,010
  4. Step 4: Simplify right side
    420,169x = 364,828,080,100
  5. Step 5: Solve for x
    x = 364,828,080,100/420,169
  6. Step 6: Final answer
    x = 868,288.90

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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.