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Finding the Third Proportional to 29,490 and 61,713

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Solution

The third proportional to 29,490 and 61,713 is: 129,145.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,490 : 61,713 = 61,713 : x
  2. Step 2: Convert to fraction form
    29,490/61,713 = 61,713/x
  3. Step 3: Cross multiply
    29,490x = 61,713 × 61,713
  4. Step 4: Simplify right side
    29,490x = 3,808,494,369
  5. Step 5: Solve for x
    x = 3,808,494,369/29,490
  6. Step 6: Final answer
    x = 129,145.28

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.