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Finding the Third Proportional to 53,386 and 83,745

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Solution

The third proportional to 53,386 and 83,745 is: 131,368.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,386 : 83,745 = 83,745 : x
  2. Step 2: Convert to fraction form
    53,386/83,745 = 83,745/x
  3. Step 3: Cross multiply
    53,386x = 83,745 × 83,745
  4. Step 4: Simplify right side
    53,386x = 7,013,225,025
  5. Step 5: Solve for x
    x = 7,013,225,025/53,386
  6. Step 6: Final answer
    x = 131,368.24

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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.