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Finding the Third Proportional to 30,390 and 65,640

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Solution

The third proportional to 30,390 and 65,640 is: 141,777.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,390 : 65,640 = 65,640 : x
  2. Step 2: Convert to fraction form
    30,390/65,640 = 65,640/x
  3. Step 3: Cross multiply
    30,390x = 65,640 × 65,640
  4. Step 4: Simplify right side
    30,390x = 4,308,609,600
  5. Step 5: Solve for x
    x = 4,308,609,600/30,390
  6. Step 6: Final answer
    x = 141,777.22

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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.