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Finding the Third Proportional to 81,816 and 128,547

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Solution

The third proportional to 81,816 and 128,547 is: 201,969.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,816 : 128,547 = 128,547 : x
  2. Step 2: Convert to fraction form
    81,816/128,547 = 128,547/x
  3. Step 3: Cross multiply
    81,816x = 128,547 × 128,547
  4. Step 4: Simplify right side
    81,816x = 16,524,331,209
  5. Step 5: Solve for x
    x = 16,524,331,209/81,816
  6. Step 6: Final answer
    x = 201,969.43

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.