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Finding the Third Proportional to 92,454 and 142,602

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Solution

The third proportional to 92,454 and 142,602 is: 219,950.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,454 : 142,602 = 142,602 : x
  2. Step 2: Convert to fraction form
    92,454/142,602 = 142,602/x
  3. Step 3: Cross multiply
    92,454x = 142,602 × 142,602
  4. Step 4: Simplify right side
    92,454x = 20,335,330,404
  5. Step 5: Solve for x
    x = 20,335,330,404/92,454
  6. Step 6: Final answer
    x = 219,950.79

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Why These Related Problems?

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