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Finding the Third Proportional to 131,490 and 213,633

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Solution

The third proportional to 131,490 and 213,633 is: 347,091.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,490 : 213,633 = 213,633 : x
  2. Step 2: Convert to fraction form
    131,490/213,633 = 213,633/x
  3. Step 3: Cross multiply
    131,490x = 213,633 × 213,633
  4. Step 4: Simplify right side
    131,490x = 45,639,058,689
  5. Step 5: Solve for x
    x = 45,639,058,689/131,490
  6. Step 6: Final answer
    x = 347,091.48

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.