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Finding the Third Proportional to 40,306 and 56,660

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Solution

The third proportional to 40,306 and 56,660 is: 79,649.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,306 : 56,660 = 56,660 : x
  2. Step 2: Convert to fraction form
    40,306/56,660 = 56,660/x
  3. Step 3: Cross multiply
    40,306x = 56,660 × 56,660
  4. Step 4: Simplify right side
    40,306x = 3,210,355,600
  5. Step 5: Solve for x
    x = 3,210,355,600/40,306
  6. Step 6: Final answer
    x = 79,649.57

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.