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Finding the Third Proportional to 53,678 and 77,421

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Solution

The third proportional to 53,678 and 77,421 is: 111,666.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,678 : 77,421 = 77,421 : x
  2. Step 2: Convert to fraction form
    53,678/77,421 = 77,421/x
  3. Step 3: Cross multiply
    53,678x = 77,421 × 77,421
  4. Step 4: Simplify right side
    53,678x = 5,994,011,241
  5. Step 5: Solve for x
    x = 5,994,011,241/53,678
  6. Step 6: Final answer
    x = 111,666.07

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.