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Finding the Third Proportional to 92,089 and 142,201.50

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Solution

The third proportional to 92,089 and 142,201.50 is: 219,583.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,089 : 142,201.50 = 142,201.50 : x
  2. Step 2: Convert to fraction form
    92,089/142,201.50 = 142,201.50/x
  3. Step 3: Cross multiply
    92,089x = 142,201.50 × 142,201.50
  4. Step 4: Simplify right side
    92,089x = 20,221,266,602.25
  5. Step 5: Solve for x
    x = 20,221,266,602.25/92,089
  6. Step 6: Final answer
    x = 219,583.95

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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.