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Finding the Third Proportional to 89,528 and 133,044

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Solution

The third proportional to 89,528 and 133,044 is: 197,711.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,528 : 133,044 = 133,044 : x
  2. Step 2: Convert to fraction form
    89,528/133,044 = 133,044/x
  3. Step 3: Cross multiply
    89,528x = 133,044 × 133,044
  4. Step 4: Simplify right side
    89,528x = 17,700,705,936
  5. Step 5: Solve for x
    x = 17,700,705,936/89,528
  6. Step 6: Final answer
    x = 197,711.40

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.