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Finding the Third Proportional to 131,413 and 285,803

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Solution

The third proportional to 131,413 and 285,803 is: 621,577.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,413 : 285,803 = 285,803 : x
  2. Step 2: Convert to fraction form
    131,413/285,803 = 285,803/x
  3. Step 3: Cross multiply
    131,413x = 285,803 × 285,803
  4. Step 4: Simplify right side
    131,413x = 81,683,354,809
  5. Step 5: Solve for x
    x = 81,683,354,809/131,413
  6. Step 6: Final answer
    x = 621,577.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.