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Finding the Third Proportional to 30,490 and 65,840

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Solution

The third proportional to 30,490 and 65,840 is: 142,174.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,490 : 65,840 = 65,840 : x
  2. Step 2: Convert to fraction form
    30,490/65,840 = 65,840/x
  3. Step 3: Cross multiply
    30,490x = 65,840 × 65,840
  4. Step 4: Simplify right side
    30,490x = 4,334,905,600
  5. Step 5: Solve for x
    x = 4,334,905,600/30,490
  6. Step 6: Final answer
    x = 142,174.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.