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Finding the Third Proportional to 30,360 and 65,711

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Solution

The third proportional to 30,360 and 65,711 is: 142,224.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,360 : 65,711 = 65,711 : x
  2. Step 2: Convert to fraction form
    30,360/65,711 = 65,711/x
  3. Step 3: Cross multiply
    30,360x = 65,711 × 65,711
  4. Step 4: Simplify right side
    30,360x = 4,317,935,521
  5. Step 5: Solve for x
    x = 4,317,935,521/30,360
  6. Step 6: Final answer
    x = 142,224.49

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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.