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Finding the Third Proportional to 57,816 and 84,528

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Solution

The third proportional to 57,816 and 84,528 is: 123,581.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,816 : 84,528 = 84,528 : x
  2. Step 2: Convert to fraction form
    57,816/84,528 = 84,528/x
  3. Step 3: Cross multiply
    57,816x = 84,528 × 84,528
  4. Step 4: Simplify right side
    57,816x = 7,144,982,784
  5. Step 5: Solve for x
    x = 7,144,982,784/57,816
  6. Step 6: Final answer
    x = 123,581.41

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.