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Finding the Third Proportional to 76,046 and 114,303

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Solution

The third proportional to 76,046 and 114,303 is: 171,806.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,046 : 114,303 = 114,303 : x
  2. Step 2: Convert to fraction form
    76,046/114,303 = 114,303/x
  3. Step 3: Cross multiply
    76,046x = 114,303 × 114,303
  4. Step 4: Simplify right side
    76,046x = 13,065,175,809
  5. Step 5: Solve for x
    x = 13,065,175,809/76,046
  6. Step 6: Final answer
    x = 171,806.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.