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Finding the Third Proportional to 65,520 and 143,310

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Solution

The third proportional to 65,520 and 143,310 is: 313,457.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,520 : 143,310 = 143,310 : x
  2. Step 2: Convert to fraction form
    65,520/143,310 = 143,310/x
  3. Step 3: Cross multiply
    65,520x = 143,310 × 143,310
  4. Step 4: Simplify right side
    65,520x = 20,537,756,100
  5. Step 5: Solve for x
    x = 20,537,756,100/65,520
  6. Step 6: Final answer
    x = 313,457.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.