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Finding the Third Proportional to 76,453 and 112,426

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Solution

The third proportional to 76,453 and 112,426 is: 165,325.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,453 : 112,426 = 112,426 : x
  2. Step 2: Convert to fraction form
    76,453/112,426 = 112,426/x
  3. Step 3: Cross multiply
    76,453x = 112,426 × 112,426
  4. Step 4: Simplify right side
    76,453x = 12,639,605,476
  5. Step 5: Solve for x
    x = 12,639,605,476/76,453
  6. Step 6: Final answer
    x = 165,325.17

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.