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Finding the Third Proportional to 53,495 and 82,787

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Solution

The third proportional to 53,495 and 82,787 is: 128,118.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,495 : 82,787 = 82,787 : x
  2. Step 2: Convert to fraction form
    53,495/82,787 = 82,787/x
  3. Step 3: Cross multiply
    53,495x = 82,787 × 82,787
  4. Step 4: Simplify right side
    53,495x = 6,853,687,369
  5. Step 5: Solve for x
    x = 6,853,687,369/53,495
  6. Step 6: Final answer
    x = 128,118.28

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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.