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Finding the Third Proportional to 57,496 and 77,672

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Solution

The third proportional to 57,496 and 77,672 is: 104,927.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,496 : 77,672 = 77,672 : x
  2. Step 2: Convert to fraction form
    57,496/77,672 = 77,672/x
  3. Step 3: Cross multiply
    57,496x = 77,672 × 77,672
  4. Step 4: Simplify right side
    57,496x = 6,032,939,584
  5. Step 5: Solve for x
    x = 6,032,939,584/57,496
  6. Step 6: Final answer
    x = 104,927.99

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.