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Finding the Third Proportional to 290,312 and 444,108

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Solution

The third proportional to 290,312 and 444,108 is: 679,379.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,312 : 444,108 = 444,108 : x
  2. Step 2: Convert to fraction form
    290,312/444,108 = 444,108/x
  3. Step 3: Cross multiply
    290,312x = 444,108 × 444,108
  4. Step 4: Simplify right side
    290,312x = 197,231,915,664
  5. Step 5: Solve for x
    x = 197,231,915,664/290,312
  6. Step 6: Final answer
    x = 679,379.14

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.