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Finding the Third Proportional to 89,681 and 134,734.25

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Solution

The third proportional to 89,681 and 134,734.25 is: 202,421.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,681 : 134,734.25 = 134,734.25 : x
  2. Step 2: Convert to fraction form
    89,681/134,734.25 = 134,734.25/x
  3. Step 3: Cross multiply
    89,681x = 134,734.25 × 134,734.25
  4. Step 4: Simplify right side
    89,681x = 18,153,318,123.06
  5. Step 5: Solve for x
    x = 18,153,318,123.06/89,681
  6. Step 6: Final answer
    x = 202,421.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.