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Finding the Third Proportional to 29,712 and 61,890

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Solution

The third proportional to 29,712 and 61,890 is: 128,916.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,712 : 61,890 = 61,890 : x
  2. Step 2: Convert to fraction form
    29,712/61,890 = 61,890/x
  3. Step 3: Cross multiply
    29,712x = 61,890 × 61,890
  4. Step 4: Simplify right side
    29,712x = 3,830,372,100
  5. Step 5: Solve for x
    x = 3,830,372,100/29,712
  6. Step 6: Final answer
    x = 128,916.67

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.