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Finding the Third Proportional to 93,045 and 132,898.50

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Solution

The third proportional to 93,045 and 132,898.50 is: 189,822.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,045 : 132,898.50 = 132,898.50 : x
  2. Step 2: Convert to fraction form
    93,045/132,898.50 = 132,898.50/x
  3. Step 3: Cross multiply
    93,045x = 132,898.50 × 132,898.50
  4. Step 4: Simplify right side
    93,045x = 17,662,011,302.25
  5. Step 5: Solve for x
    x = 17,662,011,302.25/93,045
  6. Step 6: Final answer
    x = 189,822.25

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.