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Finding the Third Proportional to 53,507 and 82,966

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Solution

The third proportional to 53,507 and 82,966 is: 128,644.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,507 : 82,966 = 82,966 : x
  2. Step 2: Convert to fraction form
    53,507/82,966 = 82,966/x
  3. Step 3: Cross multiply
    53,507x = 82,966 × 82,966
  4. Step 4: Simplify right side
    53,507x = 6,883,357,156
  5. Step 5: Solve for x
    x = 6,883,357,156/53,507
  6. Step 6: Final answer
    x = 128,644.05

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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.