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Finding the Third Proportional to 82,809.84 and 128,463.47

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Solution

The third proportional to 82,809.84 and 128,463.47 is: 199,286.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,809.84 : 128,463.47 = 128,463.47 : x
  2. Step 2: Convert to fraction form
    82,809.84/128,463.47 = 128,463.47/x
  3. Step 3: Cross multiply
    82,809.84x = 128,463.47 × 128,463.47
  4. Step 4: Simplify right side
    82,809.84x = 16,502,862,803.28
  5. Step 5: Solve for x
    x = 16,502,862,803.28/82,809.84
  6. Step 6: Final answer
    x = 199,286.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.