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Finding the Third Proportional to 290,570 and 444,307

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Solution

The third proportional to 290,570 and 444,307 is: 679,384.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,570 : 444,307 = 444,307 : x
  2. Step 2: Convert to fraction form
    290,570/444,307 = 444,307/x
  3. Step 3: Cross multiply
    290,570x = 444,307 × 444,307
  4. Step 4: Simplify right side
    290,570x = 197,408,710,249
  5. Step 5: Solve for x
    x = 197,408,710,249/290,570
  6. Step 6: Final answer
    x = 679,384.35

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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.