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Finding the Third Proportional to 29,490 and 61,710

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Solution

The third proportional to 29,490 and 61,710 is: 129,132.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,490 : 61,710 = 61,710 : x
  2. Step 2: Convert to fraction form
    29,490/61,710 = 61,710/x
  3. Step 3: Cross multiply
    29,490x = 61,710 × 61,710
  4. Step 4: Simplify right side
    29,490x = 3,808,124,100
  5. Step 5: Solve for x
    x = 3,808,124,100/29,490
  6. Step 6: Final answer
    x = 129,132.73

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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.