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Finding the Third Proportional to 92,276 and 142,566

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Solution

The third proportional to 92,276 and 142,566 is: 220,263.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,276 : 142,566 = 142,566 : x
  2. Step 2: Convert to fraction form
    92,276/142,566 = 142,566/x
  3. Step 3: Cross multiply
    92,276x = 142,566 × 142,566
  4. Step 4: Simplify right side
    92,276x = 20,325,064,356
  5. Step 5: Solve for x
    x = 20,325,064,356/92,276
  6. Step 6: Final answer
    x = 220,263.82

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.